\relax 
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {1}重力波の基礎理論}{1}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {1.1}はじめに}{1}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {1.2}表面重力波}{1}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.2.1}表面重力波の定式化}{1}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.1}{\ignorespaces 波動の記述}}{2}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 速度ポテンシャルの導入}{2}}
\newlabel{sokudo-potential}{{{\prm 1.2.1}}{2}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 連続の式}{2}}
\newlabel{renzoku-2d}{{{\prm 1.2.2}}{2}}
\newlabel{laplace-eq}{{{\prm 1.2.3}}{2}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 境界条件}{2}}
\newlabel{boundary-1}{{{\prm 1.2.4}}{2}}
\newlabel{boundary-2}{{{\prm 1.2.5}}{2}}
\newlabel{boundary-3}{{{\prm 1.2.6}}{2}}
\newlabel{boundary-4}{{{\prm 1.2.7}}{3}}
\newlabel{boundary-5}{{{\prm 1.2.8}}{3}}
\newlabel{boundary-6}{{{\prm 1.2.14}}{3}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 表面重力波の解の導出}{3}}
\newlabel{eta-solution}{{{\prm 1.2.15}}{4}}
\newlabel{laplace-eq-solution}{{{\prm 1.2.16}}{4}}
\newlabel{sokudo-potential-2}{{{\prm 1.2.18}}{4}}
\newlabel{A-B-kankei-1}{{{\prm 1.2.19}}{4}}
\newlabel{A-B-kankei-2}{{{\prm 1.2.20}}{4}}
\newlabel{sokudo-potential-3}{{{\prm 1.2.22}}{5}}
\newlabel{laplace-eq-solution-2}{{{\prm 1.2.23}}{5}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.2.2}表面重力波の分散関係式}{5}}
\newlabel{hyoumen-gw-bunsan}{{{\prm 1.2.24}}{5}}
\newlabel{hyoumen-gw-phase-speed}{{{\prm 1.2.25}}{5}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.2.3}表面重力波の圧力成分}{5}}
\newlabel{bernoulli-p}{{{\prm 1.2.26}}{5}}
\newlabel{hyoumen-gw-p-1}{{{\prm 1.2.29}}{5}}
\newlabel{hyoumen-gw-p-2}{{{\prm 1.2.30}}{5}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.2.4}浅水波・深水波近似}{6}}
\newlabel{shallow-deep-water}{{1.2.4}{6}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 深水波近似}{6}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 浅水波近似}{7}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.2.5}表面重力波の波のエネルギーとフラックス}{8}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 表面重力波の波のエネルギー}{8}}
\newlabel{kinetic-E}{{{\prm 1.2.41}}{9}}
\newlabel{potential-E}{{{\prm 1.2.42}}{9}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.2}{\ignorespaces 流体柱のポテンシャルエネルギーの計算}}{9}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● 表面重力波の波のエネルギーフラックス}{10}}
\newlabel{energy-flux-1}{{{\prm 1.2.44}}{10}}
\newlabel{energy-flux-2}{{{\prm 1.2.46}}{10}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {1.3}群速度とエネルギーフラックス}{11}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.3.1}群速度}{11}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.3}{\ignorespaces 二つの正弦波の線形の重ね合わせによる連続した群速度の形成. }}{11}}
\newlabel{group-velocity}{{1.3}{11}}
\newlabel{gunsokudo-teigi-1}{{{\prm 1.3.49}}{11}}
\newlabel{gunsokudo-teigi-2}{{{\prm 1.3.50}}{11}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● $c_{g}< c$ の場合}{12}}
\@writefile{toc}{\string\contentsline\space {subsubsection}{● $c_{g}> c$ の場合}{12}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.4}{\ignorespaces 分散曲線 $\omega (k)$ と $c, c_{g}$ との対応.}}{12}}
\newlabel{k-omega-c-cg}{{1.4}{12}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.3.2}波束と群速度}{12}}
\newlabel{gw-gunsokudo}{{{\prm 1.3.53}}{13}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.5}{\ignorespaces $\delta k$ の狭い波数帯の波束の様子. }}{13}}
\newlabel{wave-packet}{{1.5}{13}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.6}{\ignorespaces 水面に石を投じた場合の水面のプロファイルを3つの時間にわけて書いたもの.}}{13}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.3.3}群速度とエネルギーフラックス}{14}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {1.4}波線理論}{14}}
\newlabel{hasen-riron}{{1.4}{14}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.4.1}深さ $H$ が一定の場合}{14}}
\newlabel{k-omega-eq}{{{\prm 1.4.58}}{14}}
\newlabel{k-equation}{{{\prm 1.4.60}}{15}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.7}{\ignorespaces 一様な流体中を波群が伝播する様子を $x-t$ 平面で表したもの. 細線は波頭のとる線, 太線は $k$ と $\omega $ が等しくなるところを結んだ線である.}}{15}}
\newlabel{k-omega-const-line}{{1.7}{15}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {1.4.2}深さ $H$ が変化する場合}{15}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {1.8}{\ignorespaces 非一様な流体中を波群が伝播する様子を $x-t$ 平面で表したもの. $\omega $ が一定となる波線のみを書いている.}}{16}}
\newlabel{k-omega-const-line-2}{{1.8}{16}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {2}非回転系重力波 1 − 浅水重力波}{17}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {2.1}浅水重力波(Shallow-Water Gravity Waves)}{17}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {2.1.1}浅水重力波の定性的な特徴}{17}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {2.1.2}浅水重力波の定性的な伝播メカニズム}{17}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {2.1}{\ignorespaces $x$ 軸右向きに伝播する浅水重力波(表面重力波).}}{18}}
\newlabel{hyoumen-gw-pic}{{2.1}{18}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {2.1.3}浅水重力波の定式化}{18}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {2.2}{\ignorespaces $x$ 軸右向きに伝播する浅水重力波(2層モデル).}}{18}}
\newlabel{hyoumen-gw-pic-2}{{2.2}{18}}
\newlabel{x-eq}{{{\prm 2.1.1}}{19}}
\newlabel{renzoku-2d-h}{{{\prm 2.1.3}}{19}}
\newlabel{setudou-u-eq}{{{\prm 2.1.4}}{19}}
\newlabel{setudou-h-eq}{{{\prm 2.1.5}}{19}}
\newlabel{setudou-u-eq2}{{{\prm 2.1.6}}{20}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {3}非回転系重力波 2 − 内部重力波}{21}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {3.1}内部重力波(Internal Gravity (Buoyancy) Waves)}{21}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.1}大気重力波の定性的な特徴}{21}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.2}純粋な内部重力波(パーセル法による解釈)}{21}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {3.1}{\ignorespaces 鉛直方向に対して $\alpha $ の角度の等位相線をもつ重力波のパーセルの振動の模式図.}}{21}}
\newlabel{naibu-gw-pic-percel}{{3.1}{21}}
\newlabel{naibu-gw-eq}{{{\prm 3.1.1}}{22}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.3}純粋な内部重力波の定式化}{22}}
\newlabel{naibu-gw-eq1}{{{\prm 3.1.2}}{22}}
\newlabel{naibu-gw-eq2}{{{\prm 3.1.3}}{22}}
\newlabel{naibu-gw-eq3}{{{\prm 3.1.4}}{22}}
\newlabel{naibu-gw-eq4}{{{\prm 3.1.5}}{22}}
\newlabel{oni-eq}{{{\prm 3.1.6}}{23}}
\newlabel{setudou-tenkai1}{{{\prm 3.1.8}}{23}}
\newlabel{ln-oni-eq}{{{\prm 3.1.9}}{23}}
\newlabel{seisuiatu-setudou}{{{\prm 3.1.10}}{23}}
\newlabel{oni-setudou}{{{\prm 3.1.13}}{24}}
\newlabel{naibu-gw-setudou-eq1}{{{\prm 3.1.14}}{24}}
\newlabel{naibu-gw-setudou-eq2}{{{\prm 3.1.15}}{24}}
\newlabel{naibu-gw-setudou-eq3}{{{\prm 3.1.16}}{24}}
\newlabel{naibu-gw-setudou-eq4}{{{\prm 3.1.17}}{24}}
\newlabel{naibu-gw-setudou-uzudo1}{{{\prm 3.1.18}}{24}}
\newlabel{naibu-gw-setudou-uzudo2}{{{\prm 3.1.19}}{24}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.4}内部重力波の分散関係}{24}}
\newlabel{w-modetenkai}{{{\prm 3.1.20}}{24}}
\newlabel{naibu-gw-bunsan}{{{\prm 3.1.21}}{25}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.5}内部重力波の構造と伝搬メカニズム}{25}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {3.2}{\ignorespaces 内部重力波に於ける圧力, 温度, 速度場の位相の理想的な経度高度断面図. 細い矢印は, 速度場を表し, 太い矢印は, 位相速度を表す. 影を付けた領域は, 運動が上向きの領域を表す.}}{25}}
\newlabel{naibu-gw-pic-phase}{{3.2}{25}}
\newlabel{naibu-gw-gunsokudo-x}{{{\prm 3.1.22}}{25}}
\newlabel{naibu-gw-gunsokudo-z}{{{\prm 3.1.23}}{25}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.6}地形性の内部重力波}{26}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.7}地形性内部重力波の定式化}{26}}
\newlabel{naibu-gw-setudou-uzudo3}{{{\prm 3.1.24}}{26}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.8}地形性内部重力波の分散関係式}{26}}
\newlabel{tikei-naibu-gw-bunsan}{{{\prm 3.1.25}}{26}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {3.1.9}地形性内部重力波の鉛直構造と鉛直伝播可能性}{27}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {4}重力波(回転系)}{29}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {4.1}はじめに}{29}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {4.2}基礎方程式の定式化(浅水方程式)}{29}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {4.1}{\ignorespaces 本章であつかう系の設定}}{29}}
\newlabel{shallow-water-pic}{{4.1}{29}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {4.2.1}圧力傾度力}{29}}
\newlabel{pressure-gradient-horizontal}{{{\prm 4.2.2}}{30}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {4.2.2}連続の式}{30}}
\newlabel{renzoku-3d}{{{\prm 4.2.3}}{30}}
\newlabel{renzoku-3d-z-integral}{{{\prm 4.2.4}}{30}}
\newlabel{renzoku-3d-z-integral-2}{{{\prm 4.2.6}}{30}}
\newlabel{renzoku-3d-z-integral-3}{{{\prm 4.2.7}}{30}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {4.2.3}基礎方程式}{30}}
\newlabel{shallow-water-eq}{{{\prm 4.2.8}}{30}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {4.3}浅水方程式における高周波・低周波レジーム}{31}}
\newlabel{shallow-water-eq-u2}{{{\prm 4.3.9}}{31}}
\newlabel{shallow-water-eq-v2}{{{\prm 4.3.10}}{31}}
\newlabel{shallow-water-eq-u-v3}{{{\prm 4.3.11}}{31}}
\newlabel{shallow-uzudo-eq}{{{\prm 4.3.12}}{31}}
\newlabel{shallow-water-eq-only-v3}{{{\prm 4.3.13}}{31}}
\newlabel{shallow-water-eq-only-v3-bunsan}{{{\prm 4.3.15}}{32}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {4.3.1}$\omega \gg f$ (高周波)の場合}{32}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {4.3.2}$\omega > f$ (ただし $\omega \sim f$)の場合}{32}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {4.3.3}$\omega \ll f$ (低周波)の場合}{32}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {4.4}回転系の重力波}{33}}
\newlabel{inertio-gw-u}{{{\prm 4.4.20}}{33}}
\newlabel{inertio-gw-v}{{{\prm 4.4.21}}{33}}
\newlabel{inertio-gw-eta}{{{\prm 4.4.22}}{33}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {5}慣性重力波}{34}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {5.1}慣性重力波(Inertio-Gravity Waves)}{34}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {5.1.1}慣性重力波の定性的な特徴}{34}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {5.1.2}パーセル法による慣性重力波の解釈}{34}}
\newlabel{inertio-gw-bunsan}{{{\prm 5.1.2}}{35}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {5.1}{\ignorespaces 慣性重力波における子午面内でのパーセルの振動の模式図.}}{36}}
\newlabel{inertio-gw-pic-percel}{{5.1}{36}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {5.1.3}慣性重力波の定式化}{36}}
\newlabel{inertio-gw-eq1}{{{\prm 5.1.3}}{36}}
\newlabel{inertio-gw-eq2}{{{\prm 5.1.4}}{36}}
\newlabel{inertio-gw-eq3}{{{\prm 5.1.5}}{36}}
\newlabel{inertio-gw-eq4}{{{\prm 5.1.6}}{36}}
\newlabel{inertio-gw-eq5}{{{\prm 5.1.7}}{36}}
\newlabel{inertio-gw-setudou}{{{\prm 5.1.8}}{36}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {5.1.4}慣性重力波の分散関係}{37}}
\newlabel{inertio-gw-uhat}{{{\prm 5.1.9}}{37}}
\newlabel{inertio-gw-vhat}{{{\prm 5.1.10}}{37}}
\newlabel{inertio-gw-what}{{{\prm 5.1.11}}{37}}
\newlabel{inertio-gw-bunsan2}{{{\prm 5.1.12}}{37}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {5.1.5}慣性重力波の構造と伝搬メカニズム}{37}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {5.2}{\ignorespaces 上向きに伝播する慣性重力波 ($m<0,\nu >0, f>0$ :北半球)の速度, ジオポテンシャル, 温度擾乱の位相を波数ベクトル {\string\boldmath\space $k$} を含む鉛直断面で示したもの. 傾いた細い線は, 波数ベクトルに垂直な等位相面を表す. 太い矢印は, 位相伝搬の方向を示す. 細い矢印は, 慣性重力波の東西, 鉛直速度場を表す. 子午面の風は, ページ内に向かう向きを北向き, ページから出る向きを南向きとして表している. この図より速度ベクトルは高度とともに, 時計周りをしている様子が分かる.}}{38}}
\newlabel{inertio-gw-pic-phase}{{5.2}{38}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {6}ケルビン波}{39}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {6.1}ケルビン波}{39}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {6.1.1}ケルビン波の定式化}{39}}
\newlabel{shallow-kelvin-eq}{{{\prm 6.1.3}}{39}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {6.1.2}ケルビン波の分散関係}{40}}
\newlabel{shallow-kelvin-mode-eq}{{{\prm 6.1.5}}{40}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {6.1}{\ignorespaces ポアンカレ波とケルビン波の分散曲線}}{40}}
\newlabel{inertio-gw-kelvin-pic-bunsan}{{6.1}{40}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {6.1.3}ケルビン波の構造}{41}}
\newlabel{shallow-kelvin-mode-solution}{{{\prm 6.1.11}}{41}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {7}ロスビー波}{42}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {7.1}ロスビー波}{42}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {7.1.1}準地衝流渦度方程式}{42}}
\newlabel{shallow-potential-q-eq}{{{\prm 7.1.1}}{42}}
\newlabel{shallow-potential-q-eq-perturbation}{{{\prm 7.1.3}}{42}}
\newlabel{shallow-potential-q-eq-linearized}{{{\prm 7.1.4}}{43}}
\newlabel{geostrophic-velo}{{{\prm 7.1.5}}{43}}
\newlabel{shallow-quasi-geostrophic-potential-q-eq-linearized}{{{\prm 7.1.8}}{43}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {7.1.2}ロスビー波の分散関係式}{43}}
\newlabel{rossby-wave-bunsan}{{{\prm 7.1.10}}{44}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {7.1}{\ignorespaces ロスビー波の分散曲線 $\omega (k,l)$. 上の図は $l=0$ とした場合の$k$ と $\omega $ の関係を示している. 下の図は $k-l$ 平面から見た場合の$\omega $ のコンターを示している. 3つの円は, $\omega f_{0}/\beta c$ が, 0.2, 0.3, 0.4 の場合を示している. $\omega $ のコンターに垂直な矢印は, 群速度ベクトル {\string\boldmath\space $c_{g}$}の方向を示している.}}{44}}
\newlabel{rossby-wave-pic-bunsan}{{7.1}{44}}
\newlabel{shallow-water-eq-only-v3-bunsan2}{{{\prm 7.1.16}}{45}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {8}浅水系の赤道波の定式化と無次元化}{46}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {8.1}定式化}{46}}
\newlabel{equator-shallow-water-eq-u}{{{\prm 8.1.2}}{46}}
\newlabel{equator-shallow-water-eq-v}{{{\prm 8.1.3}}{46}}
\newlabel{equator-shallow-water-eq-phi}{{{\prm 8.1.4}}{46}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {8.2}無次元化}{46}}
\newlabel{equator-shallow-water-nondim-eq-u}{{{\prm 8.2.13}}{47}}
\newlabel{equator-shallow-water-nondim-eq-v}{{{\prm 8.2.14}}{47}}
\newlabel{equator-shallow-water-nondim-eq-phi}{{{\prm 8.2.15}}{47}}
\newlabel{equator-shallow-water-nondim-eq-u2}{{{\prm 8.2.16}}{47}}
\newlabel{equator-shallow-water-nondim-eq-v2}{{{\prm 8.2.17}}{47}}
\newlabel{equator-shallow-water-nondim-eq-phi2}{{{\prm 8.2.18}}{47}}
\newlabel{equator-shallow-water-nondim-eq-u3}{{{\prm 8.2.22}}{47}}
\newlabel{equator-shallow-water-nondim-eq-v3}{{{\prm 8.2.23}}{47}}
\newlabel{equator-shallow-water-nondim-eq-phi3}{{{\prm 8.2.24}}{47}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {8.3}\string$\space v$ の式の導出}{48}}
\newlabel{equator-shallow-water-eq-u2}{{{\prm 8.3.25}}{48}}
\newlabel{equator-shallow-water-eq-phi2}{{{\prm 8.3.26}}{48}}
\newlabel{equator-shallow-water-nondim-eq-p-v}{{{\prm 8.3.27}}{48}}
\newlabel{equator-shallow-water-nondim-eq-u-v}{{{\prm 8.3.28}}{48}}
\newlabel{equator-shallow-water-nondim-eq-v-v}{{{\prm 8.3.31}}{48}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {8.4}境界条件}{48}}
\newlabel{boundary-condition-x}{{{\prm 8.4.32}}{48}}
\newlabel{boundary-condition-y}{{{\prm 8.4.33}}{48}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {9}赤道波の固有値問題とその解}{50}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:eq-bunsan-sec}{{9}{50}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {9.1}固有値問題の定式化}{50}}
\newlabel{spector-ex}{{{\prm 9.1.1}}{50}}
\newlabel{equator-shallow-water-nondim-eq-mode-u}{{{\prm 9.1.2}}{50}}
\newlabel{equator-shallow-water-nondim-eq-mode-v}{{{\prm 9.1.3}}{50}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi}{{{\prm 9.1.4}}{50}}
\newlabel{equator-shallow-water-nondim-eq-mode-v-v}{{{\prm 9.1.5}}{50}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {9.2}$\mathaccent "705E {v}\not =0$ の場合}{51}}
\newlabel{sec:sec-eigen-vnot=0}{{9.2}{51}}
\newlabel{equator-shallow-water-nondim-eq-mode-v-v'}{{{\prm 9.2.6}}{51}}
\newlabel{equator-shallow-water-nondim-eq-mode-v-v2}{{{\prm 9.2.8}}{51}}
\newlabel{equator-shallow-water-nondim-eq-mode-v-v3}{{{\prm 9.2.9}}{51}}
\newlabel{hermet-eq}{{{\prm 9.2.10}}{51}}
\newlabel{equator-shallow-water-nondim-eq-mode-v2}{{{\prm 9.2.11}}{51}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.2.1}$n=0$ の場合}{52}}
\newlabel{equator-shallow-water-nondim-eq-mode-v-v3_n=0}{{{\prm 9.2.13}}{52}}
\newlabel{eigen-value-n=0}{{{\prm 9.2.14}}{52}}
\newlabel{vhat_n=0}{{{\prm 9.2.15}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-u2}{{{\prm 9.2.16}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi2}{{{\prm 9.2.17}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-u3}{{{\prm 9.2.18}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi3}{{{\prm 9.2.19}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-u4}{{{\prm 9.2.20}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-v4}{{{\prm 9.2.21}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi4}{{{\prm 9.2.22}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-n=0-u2}{{{\prm 9.2.23}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-n=0-v2}{{{\prm 9.2.24}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-n=0-phi2}{{{\prm 9.2.25}}{53}}
\newlabel{equator-shallow-water-nondim-eq-mode-v3}{{{\prm 9.2.27}}{54}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.2.2}$n\ge 1$ の場合}{54}}
\newlabel{equator-shallow-water-nondim-eq-mode-v-v4}{{{\prm 9.2.30}}{54}}
\newlabel{eq-bunsan-theory-result-1}{{{\prm 9.2.31}}{54}}
\newlabel{eq-bunsan-theory-result-1'}{{{\prm 9.2.32}}{55}}
\newlabel{eq-bunsan-theory-result-2}{{{\prm 9.2.33}}{55}}
\newlabel{eq-bunsan-theory-result-2'}{{{\prm 9.2.34}}{55}}
\newlabel{eq-bunsan-theory-result-3}{{{\prm 9.2.35}}{55}}
\newlabel{eq-bunsan-theory-result-3'}{{{\prm 9.2.36}}{55}}
\newlabel{vhat_n=n}{{{\prm 9.2.37}}{55}}
\newlabel{equator-shallow-water-nondim-eq-mode-u5}{{{\prm 9.2.38}}{55}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi5}{{{\prm 9.2.39}}{55}}
\newlabel{equator-shallow-water-nondim-eq-mode-u6}{{{\prm 9.2.40}}{55}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi6}{{{\prm 9.2.41}}{55}}
\newlabel{eq:hermite-relation-1}{{{\prm 9.2.42}}{55}}
\newlabel{eq:hermite-relation-2}{{{\prm 9.2.43}}{55}}
\newlabel{equator-shallow-water-nondim-eq-mode-u7}{{{\prm 9.2.46}}{56}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi7}{{{\prm 9.2.47}}{56}}
\newlabel{equator-shallow-water-nondim-eq-mode-u8}{{{\prm 9.2.48}}{56}}
\newlabel{equator-shallow-water-nondim-eq-mode-v8}{{{\prm 9.2.49}}{56}}
\newlabel{equator-shallow-water-nondim-eq-mode-phi8}{{{\prm 9.2.50}}{56}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {9.3}$\mathaccent "705E {v}=0$ の場合}{56}}
\newlabel{sec:sec-eigen-v=0}{{9.3}{56}}
\newlabel{equator-kelvin-nondim-eq-mode-u}{{{\prm 9.3.51}}{56}}
\newlabel{equator-kelvin-nondim-eq-mode-v}{{{\prm 9.3.52}}{57}}
\newlabel{equator-kelvin-nondim-eq-mode-phi}{{{\prm 9.3.53}}{57}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.3.1}$\omega = -k (\not =0)$ の場合}{57}}
\newlabel{solution-w=k}{{{\prm 9.3.59}}{57}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.3.2}$\omega = k$ の場合}{57}}
\newlabel{kelvin-eq-nondim-u}{{{\prm 9.3.63}}{58}}
\newlabel{kelvin-eq-nondim-v}{{{\prm 9.3.64}}{58}}
\newlabel{kelvin-eq-nondim-phi}{{{\prm 9.3.65}}{58}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {9.4}固有値, 固有関数のまとめ}{58}}
\newlabel{sec:eigen-solution-summary}{{9.4}{58}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.4.1}\string$\space \mathaccent "705E {v}\not =0$ の解}{58}}
\newlabel{sec:v-not=0-eigen-solution}{{9.4.1}{58}}
\newlabel{eq:solution_vnot=0_n=0_omega}{{{\prm 9.4.66}}{58}}
\newlabel{eq:solution_vnot=0_n=0_u}{{{\prm 9.4.67}}{58}}
\newlabel{eq:solution_vnot=0_n=0_v}{{{\prm 9.4.68}}{58}}
\newlabel{eq:solution_vnot=0_n=0_Phi}{{{\prm 9.4.69}}{58}}
\newlabel{eq:solution_vnot=0_n=1_omega1}{{{\prm 9.4.70}}{58}}
\newlabel{eq:solution_vnot=0_n=1_omega1'}{{{\prm 9.4.71}}{58}}
\newlabel{eq:solution_vnot=0_n=1_omega2}{{{\prm 9.4.72}}{58}}
\newlabel{eq:solution_vnot=0_n=1_omega2'}{{{\prm 9.4.73}}{58}}
\newlabel{eq:solution_vnot=0_n=1_omega3}{{{\prm 9.4.74}}{59}}
\newlabel{eq:solution_vnot=0_n=1_omega3'}{{{\prm 9.4.75}}{59}}
\newlabel{eq:solution_vnot=0_n=1_u}{{{\prm 9.4.76}}{59}}
\newlabel{eq:solution_vnot=0_n=1_v}{{{\prm 9.4.77}}{59}}
\newlabel{eq:solution_vnot=0_n=1_Phi}{{{\prm 9.4.78}}{59}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.4.2}\string$\space \mathaccent "705E {v}=0$ の解}{59}}
\newlabel{sec:v=0-eigen-solution}{{9.4.2}{59}}
\newlabel{eq:solution_v=0_omega}{{{\prm 9.4.79}}{59}}
\newlabel{eq:solution_v=0_n=-1_u}{{{\prm 9.4.80}}{59}}
\newlabel{eq:solution_v=0_n=-1_v}{{{\prm 9.4.81}}{59}}
\newlabel{eq:solution_v=0_n=-1_phi}{{{\prm 9.4.82}}{59}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {9.5}位相速度のまとめ}{59}}
\newlabel{sec:phase-summary}{{9.5}{59}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.5.1}\string$\space \mathaccent "705E {v}\not =0$ の解}{59}}
\newlabel{sec:v-not=0-phase}{{9.5.1}{59}}
\newlabel{eq:phase-solution_vnot=0_n=0_omega}{{{\prm 9.5.83}}{59}}
\newlabel{eq:phase-solution_vnot=0_n=1_omega1}{{{\prm 9.5.84}}{60}}
\newlabel{eq:phase-solution_vnot=0_n=1_omega1'}{{{\prm 9.5.85}}{60}}
\newlabel{eq:phase-solution_vnot=0_n=1_omega2}{{{\prm 9.5.86}}{60}}
\newlabel{eq:phase-solution_vnot=0_n=1_omega2'}{{{\prm 9.5.87}}{60}}
\newlabel{eq:phase-solution_vnot=0_n=1_omega3}{{{\prm 9.5.88}}{60}}
\newlabel{eq:phase-solution_vnot=0_n=1_omega3'}{{{\prm 9.5.89}}{60}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {9.5.2}\string$\space \mathaccent "705E {v}=0$ の解}{60}}
\newlabel{sec:v=0-eigen-solution}{{9.5.2}{60}}
\newlabel{eq:phase-solution_v=0_omega}{{{\prm 9.5.90}}{60}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {10}赤道波の分散関係式と水平構造}{61}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:sec-struct}{{10}{61}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {10.1}赤道波の分散曲線}{61}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.1}{\ignorespaces 赤道波の分散曲線の理論解(\string$\space -1\le n \le 3$). ラベル無し実線は赤道ケルビン波\string\Deqref\space {solution_v=0_omega}, ラベル有り実線は西進, 東進慣性重力波の近似解\string\Deqref\space {solution_vnot=0_n=1_omega2'} と\string\Deqref\space {solution_vnot=0_n=1_omega3'}, 点線は赤道ロスビー波の近似解\string\Deqref\space {solution_vnot=0_n=1_omega1'}, 破線と一点鎖線は混合ロスビー重力波\string\Deqref\space {solution_vnot=0_n=0_omega} の分散曲線を表す. 慣性重力波とロスビー波の分散曲線の近似解と厳密解は, 実際にはよく一致する. }}{61}}
\newlabel{eq-bunsan-line}{{10.1}{61}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.2}{\ignorespaces 赤道波の位相速度の理論解. 曲線と波の対応は図\string\ref\space {eq-bunsan-line}と同様. ラベル無し実線は\string\Deqref\space {phase-solution_v=0_omega}, ラベル有り実線は\string\Deqref\space {phase-solution_vnot=0_n=1_omega2'} と\string\Deqref\space {phase-solution_vnot=0_n=1_omega3'}, 点線は\string\Deqref\space {phase-solution_vnot=0_n=1_omega1'}, 破線と一点鎖線は\string\Deqref\space {phase-solution_vnot=0_n=0_omega} の位相速度を表す.}}{62}}
\newlabel{eq-phase-line}{{10.2}{62}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {10.2}$n=-1$ の場合の水平構造}{62}}
\newlabel{sec:n=-1}{{10.2}{62}}
\newlabel{equator-kelvin-bunsan-nondim}{{{\prm 10.2.1}}{62}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.3}{\ignorespaces 赤道ケルビン波の圧力場と速度場の分布(\string$\space k=1,\omega =1$).}}{62}}
\newlabel{kelvin-pic}{{10.3}{62}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {10.3}$n=0$ の場合の水平構造}{63}}
\newlabel{sec:sec-n=0}{{10.3}{63}}
\newlabel{eq-mixed-rossby-gw-bunsan}{{{\prm 10.3.2}}{63}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.4}{\ignorespaces \string$\space n=0$ の混合ロスビー重力波(東進)の圧力場と速度場の分布(\string$\space k=0.5, \omega =2.56$).}}{63}}
\newlabel{inertio-gw-pic-n=0}{{10.4}{63}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.5}{\ignorespaces \string$\space n=0$ の混合ロスビー重力波(西進)の圧力場と速度場の分布(\string$\space k=0.5, \omega =-1.56$).}}{63}}
\newlabel{mixed-rossby-pic}{{10.5}{63}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {10.4}$n\ge 1$ の場合の水平構造}{64}}
\newlabel{sec:nge1}{{10.4}{64}}
\newlabel{eq:eq-rossby-bunsan-genmitu}{{{\prm 10.4.3}}{64}}
\newlabel{eq-bunsan-n>1-result-1}{{{\prm 10.4.3}}{64}}
\newlabel{eq:eq-rossby-bunsan}{{{\prm 10.4.4}}{64}}
\newlabel{eq-bunsan-n>1-result-1'}{{{\prm 10.4.4}}{64}}
\newlabel{eq:eq-inertio-w-gw-bunsan-genmitu}{{{\prm 10.4.5}}{64}}
\newlabel{eq-bunsan-n>1-result-2}{{{\prm 10.4.5}}{64}}
\newlabel{eq:eq-inertio-w-gw-bunsan}{{{\prm 10.4.6}}{64}}
\newlabel{eq-bunsan-n>1-result-1'}{{{\prm 10.4.6}}{64}}
\newlabel{eq:eq-inertio-e-gw-bunsan-genmitu}{{{\prm 10.4.7}}{64}}
\newlabel{eq-bunsan-n>1-result-3}{{{\prm 10.4.7}}{64}}
\newlabel{eq:eq-inertio-e-gw-bunsan}{{{\prm 10.4.8}}{64}}
\newlabel{eq-bunsan-n>1-result-3'}{{{\prm 10.4.8}}{64}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.6}{\ignorespaces 赤道ロスビー波の圧力場と速度場の分布(\string$\space k=1$). 左図: \string$\space n=1, \omega =-0.25$, 右図: \string$\space n=2, \omega =-0.17$.}}{65}}
\newlabel{rossby-pic}{{10.6}{65}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.7}{\ignorespaces 慣性重力波の圧力場と速度場の分布(\string$\space k=0.5$). 左図: 東進慣性重力波, 右図: 西進慣性重力波. 上段から \string$\space n=1$ (左図\string$\space \omega =1.80$, 右図 \string$\space \omega =-1.80$), \string$\space n=2$ (左図 \string$\space \omega =2.29$, 右図\string$\space \omega =-2.29$).}}{66}}
\newlabel{inertio-gw-pic}{{10.7}{66}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {10.5}$k=0$ のモードの水平構造に関する注釈}{66}}
\newlabel{sec:k=0-mode}{{10.5}{66}}
\newlabel{u_i}{{{\prm 10.5.16}}{67}}
\newlabel{v_r}{{{\prm 10.5.17}}{67}}
\newlabel{phi_i}{{{\prm 10.5.20}}{67}}
\newlabel{u_xyt}{{{\prm 10.5.21}}{67}}
\newlabel{v_xyt}{{{\prm 10.5.22}}{68}}
\newlabel{phi_xyt}{{{\prm 10.5.23}}{68}}
\newlabel{omega-reverse-u}{{{\prm 10.5.24}}{68}}
\newlabel{omega-reverse-v}{{{\prm 10.5.25}}{68}}
\newlabel{omega-reverse-phi}{{{\prm 10.5.26}}{68}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {10.8}{\ignorespaces 赤道波の分散曲線の理論解(\string$\space -1\le n \le 3$). 図中のラベルは図\string\ref\space {eq-bunsan-line}と同様. ただし, 図\string\ref\space {eq-bunsan-line}で負の振動数を持っていた分散曲線は\string$\space k<0$ の波数領域に描かれている. この図から, 慣性重力波や混合ロスビー重力波の東進するモード(正の波数と持つモード)と西進するモード(負の波数を持つモード)は, \string$\space k=0$ で接続する(同じモードである)ことが分かる.}}{68}}
\newlabel{eq-bunsan-line2}{{10.8}{68}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {11}慣性重力波の水平伝播のメカニズム}{69}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:ig-denpa}{{11}{69}}
\newlabel{eq:eq-inertio-gw-bunsan}{{{\prm 11.0.1}}{69}}
\newlabel{eq:eq-inertio-gw-phase}{{{\prm 11.0.2}}{69}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {11.1}\string$\space n=1, k=0$ の慣性重力波}{69}}
\newlabel{sec:n=1_k=0_igw}{{11.1}{69}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.1.1}$n=1, k=0$ の慣性重力波の特徴}{70}}
\newlabel{sec:n=1_k=0_igw-explain}{{11.1.1}{70}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.1.2}$n=1, k=0$ の慣性重力波の構造を決める物理量}{71}}
\newlabel{sec:n=1_k=0_uv-dist}{{11.1.2}{71}}
\newlabel{eq:k=0-n=1-real-u_xyt}{{{\prm 11.1.3}}{71}}
\newlabel{eq:n=1_k=0_amp_vector}{{{\prm 11.1.4}}{71}}
\newlabel{eq:n=1_k=0_uv_direction}{{{\prm 11.1.5}}{71}}
\newlabel{eq:k=0-n=1-real-p_xyt}{{{\prm 11.1.6}}{71}}
\newlabel{eq:n=1_k=0_p-grad}{{{\prm 11.1.7}}{72}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.1.3}$n=1, k=0$ の慣性重力波の構造}{72}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.1}{\ignorespaces \string$\space n=1, k=0.0$ の慣性振動の速度ベクトル(黒色のベクトル), ジオポテンシャル(等値線), 圧力傾度力(赤色のベクトル), コリオリ力(緑色のベクトル), 加速度ベクトル(\string$\space du/dt,dv/dt$)(青色のベクトル)のスナップショット. それぞれ \string$\space t=0.5$ (上左図), \string$\space t=1.5$ (上右図),\string$\space t=2.5$ (下左図), \string$\space t=3.0$ (下右図)である. ただし, ベクトルは経度180度の位置のもののみ示した. また, 速度ベクトルの終点がその他のベクトルの始点になるように描いている.}}{73}}
\newlabel{n1_k0.0_ig-w-east-vector}{{11.1}{73}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.2}{\ignorespaces \string$\space n=1, k=0.0$ の慣性振動の速度ベクトルとその成分(\string\Deqref\space {k=0-n=1-real-u_xyt} 式. 太線は東西風, 細線は南北風.), ならびに, 圧力傾度力の $y$ 成分(\string\Deqref\space {n=1_k=0_p-grad}式. 点線) の一周期分の時間変化. 横軸は時間, 縦軸は振幅を表す. それぞれ緯度 2.4 度(上段), 緯度 $\string\sqrt\space {3}$ 度(中段), 緯度1 度(下段)の図である. 図中の二本の斜線は, \string$\space u$ と \string$\space v$ のグラフが交差する点(\string$\space u=v$ となる点)を結んだものであり, 高緯度ほど \string$\space u=v$ となる時間(速度ベクトルが 45 度または 225度を向く時間) が早いことを示す. このグラフから, 速度ベクトルの傾きの緯度による違いは, \string$\space u$ と $v$ の振幅差によることがわかる.}}{74}}
\newlabel{n1_k0.0_ig-w-east-vector2}{{11.2}{74}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.3}{\ignorespaces $n=1, k=0.0, t=0.5$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{75}}
\newlabel{n1_k0.0_ig-w-east-term-t=0.5}{{11.3}{75}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.4}{\ignorespaces $n=1, k=0.0, t=1.5$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{76}}
\newlabel{n1_k0.0_ig-w-east-term-t=1.5}{{11.4}{76}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.5}{\ignorespaces $n=1, k=0.0, t=2.5$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{77}}
\newlabel{n1_k0.0_ig-w-east-term-t=2.5}{{11.5}{77}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.6}{\ignorespaces $n=1, k=0.0, t=3.0$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{78}}
\newlabel{n1_k0.0_ig-w-east-term-t=3.0}{{11.6}{78}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {11.2}\string$\space n=1, k\not =0$ の東進慣性重力波}{79}}
\newlabel{sec:n=1_knot=0_ig-e-w}{{11.2}{79}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.2.1}\string$\space 0 < k \le 1.2$ (低波数)の東進慣性重力波の特徴}{79}}
\newlabel{eq:n=1_knot=0_phi}{{{\prm 11.2.10}}{79}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.7}{\ignorespaces $n=1, k=0.6$ (低波数)の東進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =1.83, c=3.06$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{83}}
\newlabel{n1_k0.6_ig-w-east-term}{{11.7}{83}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.8}{\ignorespaces \string$\space n=1, k=0.6$ の東進慣性重力波の速度ベクトル(黒色のベクトル), ジオポテンシャル(等値線), 圧力傾度力(赤色のベクトル), コリオリ力(緑色のベクトル), 加速度ベクトル(\string$\space du/dt,dv/dt$)(青色のベクトル) のスナップショット. それぞれ \string$\space t=0.8$ (上左図), \string$\space t=1.5$ (上右図),\string$\space t=2.2$ (下左図), \string$\space t=3.0$ (下右図)である. 速度ベクトルの終点がその他のベクトルの始点になるように描いている.}}{84}}
\newlabel{n1_k0.6_ig-w-east-vector}{{11.8}{84}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.9}{\ignorespaces \string$\space n=1, k=0.6$ の慣性重力波の経度 0 度に於ける速度ベクトルとその成分(\string\Deqref\space {knot=0-n=1-real-u_xyt} 式. 黒太線は東西風, 黒点線は南北風), ならびに, 圧力傾度力の $x$ 成分(赤実線), $y$ 成分(赤点線) (\string\Deqref\space {knot=0-n=1-real-p_xyt}), コリオリ力の $x$ 成分(緑実線), $y$ 成分(緑点線) (\string\Deqref\space {knot=0-n=1-coliolis-force}式), $\partial u/\partial t$ (青実線), $\partial v/\partial t$ (青点線) の一周期分の時間変化. 横軸は時間, 縦軸は振幅を表す. それぞれ緯度 2.0 度(上段), 緯度 1.69 度(中段), 緯度 0.93 度(下段)の図である.}}{85}}
\newlabel{n1_k0.6_ig-w-east-vector2-1}{{11.9}{85}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.10}{\ignorespaces \string$\space n=1, k=0.6$ の慣性重力波の経度 0 度に於ける速度ベクトルとその成分(\string\Deqref\space {knot=0-n=1-real-u_xyt} 式. 黒太線は東西風, 黒点線は南北風), ならびに, 圧力傾度力の $x$ 成分(赤実線), $y$ 成分(赤点線) (\string\Deqref\space {knot=0-n=1-real-p_xyt}), コリオリ力の $x$ 成分(緑実線), $y$ 成分(緑点線) (\string\Deqref\space {knot=0-n=1-coliolis-force}式), $\partial u/\partial t$ (青実線), $\partial v/\partial t$ (青点線) の一周期分の時間変化. 横軸は時間, 縦軸は振幅を表す. それぞれ緯度 1.5 度(上段), 緯度 0.5 度(中段), 緯度 0.0 度(下段)の図である.}}{86}}
\newlabel{n1_k0.6_ig-w-east-vector2-2}{{11.10}{86}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.11}{\ignorespaces \string$\space n=1, k=0.6$ の慣性重力波の経度 0 度に於ける速度ベクトルとその成分(\string\Deqref\space {knot=0-n=1-real-u_xyt} 式. 黒太線は東西風, 黒点線は南北風), ならびに, 圧力傾度力の $x$ 成分(赤実線), $y$ 成分(赤点線) (\string\Deqref\space {knot=0-n=1-real-p_xyt}), コリオリ力の $x$ 成分(緑実線), $y$ 成分(緑点線) (\string\Deqref\space {knot=0-n=1-coliolis-force}式), $\partial u/\partial t$ (青実線), $\partial v/\partial t$ (青点線) の一周期分の時間変化. 横軸は時間, 縦軸は振幅を表す. それぞれ緯度 0.0 度(上段), 緯度 -0.5 度(中段), 緯度 -1.5 度(下段)の図である.}}{87}}
\newlabel{n1_k0.6_ig-w-east-vector2-3}{{11.11}{87}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.12}{\ignorespaces \string$\space n=1, k=0.6$ の慣性重力波の経度 0 度に於ける速度ベクトルとその成分(\string\Deqref\space {knot=0-n=1-real-u_xyt} 式. 黒太線は東西風, 黒点線は南北風), ならびに, 圧力傾度力の $x$ 成分(赤実線), $y$ 成分(赤点線) (\string\Deqref\space {knot=0-n=1-real-p_xyt}), コリオリ力の $x$ 成分(緑実線), $y$ 成分(緑点線) (\string\Deqref\space {knot=0-n=1-coliolis-force}式), $\partial u/\partial t$ (青実線), $\partial v/\partial t$ (青点線) の一周期分の時間変化. 横軸は時間, 縦軸は振幅を表す. それぞれ緯度 -0.93 度(上段), 緯度 -1.69 度(中段), 緯度 -2.0 度(下段)の図である.}}{88}}
\newlabel{n1_k0.6_ig-w-east-vector2-4}{{11.12}{88}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.2.2}\string$\space k > 1.2$ (高波数)の東進慣性重力波の特徴}{88}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.13}{\ignorespaces $n=1, k=2.0$ (高波数)の東進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =2.65, c=1.32$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{90}}
\newlabel{n1_k2.0_ig-w-east-term}{{11.13}{90}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {11.3}\string$\space n=1, k\not =0$ の西進慣性重力波}{91}}
\newlabel{sec:n=1_knot=0_ig-w-w}{{11.3}{91}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.3.1}\string$\space 0 < k \le 1.1$ (低波数)の西進慣性重力波の特徴}{91}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.14}{\ignorespaces $n=1, k=0.6$ (低波数)の西進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-1.83, c=-3.06$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{94}}
\newlabel{n1_k0.6_ig-w-west-term}{{11.14}{94}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.3.2}\string$\space k > 1.1$ (高波数)の西進慣性重力波の特徴}{95}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.15}{\ignorespaces $n=1, k=2.5$ (高波数)の西進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-3.04, c=-1.21$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{96}}
\newlabel{n1_k2.5_ig-w-west-term}{{11.15}{96}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {11.4}\string$\space n=2, k=0$ の慣性重力波}{97}}
\newlabel{sec:n=2_k=0_igw}{{11.4}{97}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.4.1}$n=2, k=0$ の慣性重力波の特徴}{97}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {11.4.2}$n=2, k=0$ の慣性重力波の構造}{98}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.16}{\ignorespaces $n=2, k=0.0$ の慣性振動の速度ベクトル(黒色のベクトル), ジオポテンシャル(等値線), 圧力傾度力(赤色のベクトル), コリオリ力(緑色のベクトル), 加速度ベクトル($du/dt,dv/dt$)(青色のベクトル)のスナップショット. それぞれ $t=0.5$ (上左図), $t=1.5$ (上右図), $t=2.5$ (下左図), $t=3.0$ (下右図)である. ただし, ベクトルは経度180度の場合のみ示した. また, 速度ベクトルの終点がその他のベクトルの始点になるように描いている.}}{99}}
\newlabel{n2_k0.0_ig-w-east-vector}{{11.16}{99}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.17}{\ignorespaces $n=2, k=0.0, t=0.5$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{100}}
\newlabel{n2_k0.0_ig-w-east-term-t=0.5}{{11.17}{100}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.18}{\ignorespaces $n=2, k=0.0, t=1.0$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{101}}
\newlabel{n2_k0.0_ig-w-east-term-t=1.0}{{11.18}{101}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.19}{\ignorespaces $n=2, k=0.0, t=1.9$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{102}}
\newlabel{n2_k0.0_ig-w-east-term-t=1.9}{{11.19}{102}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.20}{\ignorespaces $n=2, k=0.0, t=2.5$ の東進慣性重力波の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{103}}
\newlabel{n2_k0.0_ig-w-east-term-t=2.5}{{11.20}{103}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {11.5}\string$\space n=2, k\not =0$ の東進慣性重力波}{104}}
\newlabel{sec:n=2_knot=0_ig-e-w}{{11.5}{104}}
\newlabel{n=2_knot=0}{{{\prm 11.5.11}}{104}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.21}{\ignorespaces $n=2, k=0.5$ (低波数)の東進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =2.29, c=4.58$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{106}}
\newlabel{n2_k0.5_ig-w-east-term}{{11.21}{106}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.22}{\ignorespaces $n=2, k=3.0$ (高波数)の東進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =3.74, c=1.25$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{107}}
\newlabel{n2_k3.0_ig-w-east-term}{{11.22}{107}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {11.6}\string$\space n=2, k\not =0$ の西進慣性重力波}{108}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.23}{\ignorespaces $n=2, k=0.5$ (低波数)の西進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-2.29, c=-4.58$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{110}}
\newlabel{n2_k0.5_ig-w-west-term}{{11.23}{110}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {11.24}{\ignorespaces $n=2, k=3.0$ (高波数)の西進慣性重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-3.74, c=-1.25$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ.}}{111}}
\newlabel{n2_k3.0_ig-w-west-term}{{11.24}{111}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {12}赤道ロスビー波の水平伝播のメカニズム}{112}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:rossby-denpa}{{12}{112}}
\newlabel{eq:eq-ro-bunsan-nondim}{{{\prm 12.0.1}}{112}}
\newlabel{eq-rossby-phase}{{{\prm 12.0.2}}{112}}
\newlabel{ddx-equator-shallow-water-nondim-eq-v3}{{{\prm 12.0.3}}{112}}
\newlabel{ddy-equator-shallow-water-nondim-eq-u3}{{{\prm 12.0.4}}{112}}
\newlabel{relative-vorticity-eq}{{{\prm 12.0.5}}{112}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {12.1}\string$\space n=1, k=0$ の赤道ロスビー波}{113}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {12.2}\string$\space n=1, k\not =0$ の赤道ロスビー波}{113}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {12.2.1}\string$\space 0 < k \le 2.0$ (低波数)の場合}{113}}
\newlabel{relative-vorticity-eq2}{{{\prm 12.2.6}}{114}}
\newlabel{relative-vorticity-eq3}{{{\prm 12.2.7}}{114}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.1}{\ignorespaces $n=1$ の赤道ロスビー波の伝播メカニズム.}}{115}}
\newlabel{eq-rossby-denpa-1}{{12.1}{115}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.2}{\ignorespaces $n=1, k=1.0$ (低波数)の赤道ロスビー波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-0.25, c=-0.25$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ. }}{116}}
\newlabel{n1_k1.0_ro-w-term}{{12.2}{116}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.3}{\ignorespaces \string$\space n=1, k=1.0$ (低波数)のロスビー波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, さらに $d\zeta /dt$ を構成する各々の成分の水平分布($t=0, \omega =-0.25, c=-0.25$). 等値線間隔は, 下3枚が同じ. }}{117}}
\newlabel{n1_k1.0_ro-w-vorticity}{{12.3}{117}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {12.2.2}\string$\space k > 2.0$ (高波数)の場合}{118}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.4}{\ignorespaces $n=1, k=2.5$ (高波数)の赤道ロスビー波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-0.27, c=-0.11$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ. }}{119}}
\newlabel{n1_k2.5_ro-w-term}{{12.4}{119}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.5}{\ignorespaces \string$\space n=1, k=2.5$ (高波数)のロスビー波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, さらに $d\zeta /dt$ を構成する各々の成分の水平分布($t=0, \omega =-0.27, c=-0.11$). 等値線間隔は, 下3枚が同じ. }}{120}}
\newlabel{n1_k2.5_ro-w-vorticity}{{12.5}{120}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.6}{\ignorespaces $n=2, k=1.0$ (低波数)の赤道ロスビー波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-0.17, c=-0.17$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ. }}{121}}
\newlabel{n2_k1.0_ro-w-term}{{12.6}{121}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.7}{\ignorespaces \string$\space n=2, k=1.0$ (低波数)のロスビー波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, さらに $d\zeta /dt$ を構成する各々の成分の水平分布($t=0, \omega =-0.17, c=-0.17$). 等値線間隔は, 下3枚が同じ. }}{122}}
\newlabel{n2_k1.0_ro-w-vorticity}{{12.7}{122}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.8}{\ignorespaces $n=2, k=2.5$ (高波数)の赤道ロスビー波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-0.22, c=-0.09$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ. }}{123}}
\newlabel{n2_k2.5_ro-w-term}{{12.8}{123}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {12.9}{\ignorespaces \string$\space n=2, k=2.5$ (高波数)のロスビー波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, さらに $d\zeta /dt$ を構成する各々の成分の水平分布($t=0, \omega =-0.22, c=-0.09$). 等値線間隔は, 下3枚が同じ. }}{124}}
\newlabel{n2_k2.5_ro-w-vorticity}{{12.9}{124}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {13}混合ロスビー重力波の水平伝播のメカニズム}{125}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:mixed-denpa}{{13}{125}}
\newlabel{eq:eq-mixed-ro-gw-bunsan}{{{\prm 13.0.1}}{125}}
\newlabel{eq-mixed-rossby-gw-phase}{{{\prm 13.0.2}}{125}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {13.1}$n=0, k=0$ の混合ロスビー重力波}{125}}
\newlabel{sec:n=0_k=0_mixed-ro-gw-phys-component}{{13.1}{125}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {13.1.1}$n=0, k=0$ の混合ロスビー重力波の特徴}{126}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {13.1.2}$n=0, k=0$ の混合ロスビー重力波の構造}{126}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.1}{\ignorespaces \string$\space n=0, k=0.0$ の慣性振動の速度ベクトル(黒色のベクトル), ジオポテンシャル(等値線), 圧力傾度力(赤色のベクトル), コリオリ力(緑色のベクトル), 加速度ベクトル(\string$\space du/dt,dv/dt$)(青色のベクトル)のスナップショット. それぞれ \string$\space t=0.5$ (上左図), \string$\space t=2.5$ (上右図),\string$\space t=3.5$ (下左図), \string$\space t=5.5$ (下右図)である. ただし, ベクトルは経度180度の位置のもののみ示した. また, 速度ベクトルの終点がその他のベクトルの始点になるように描いている.}}{127}}
\newlabel{n0_k0.0_mixed-vector}{{13.1}{127}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.2}{\ignorespaces $n=0, k=0.0, t=0.5$ の東進混合ロスビー重力波(慣性振動)の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{128}}
\newlabel{n0_k0.0_mixed-term-line-t=0.5}{{13.2}{128}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.3}{\ignorespaces $n=0, k=0.0, t=2.5$ の東進混合ロスビー重力波(慣性振動)の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{129}}
\newlabel{n0_k0.0_ig-w-east-term-line-t=2.5}{{13.3}{129}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.4}{\ignorespaces $n=0, k=0.0, t=3.5$ の東進混合ロスビー重力波(慣性振動)の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{130}}
\newlabel{n0_k0.0_ig-w-east-term-line-t=3.5}{{13.4}{130}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.5}{\ignorespaces $n=0, k=0.0, t=5.5$ の東進混合ロスビー重力波(慣性振動)の場合の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布. 下の 3 $\times $ 3 枚の図は振幅の緯度分布を示す.}}{131}}
\newlabel{n0_k0.0_ig-w-east-term-line-t=5.5}{{13.5}{131}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {13.2}\string$\space n=0, k\not =0$ の東進混合ロスビー重力波}{132}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {13.2.1}\string$\space 0 < k \le 0.7$ (低波数)の場合}{132}}
\newlabel{n=0_knot=0}{{{\prm 13.2.3}}{132}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.6}{\ignorespaces $n=0, k=0.5$ (低波数)の東進混合ロスビー重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =1.28, c=2.56$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ. }}{133}}
\newlabel{n0_k0.5_ig-w-east-term}{{13.6}{133}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {13.2.2}\string$\space k > 0.7$ (高波数)の場合}{134}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.7}{\ignorespaces $n=0, k=1.4$ (高波数)の東進混合ロスビー重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =1.92, c=1.37$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ. }}{135}}
\newlabel{n0_k1.4_ig-w-east-term}{{13.7}{135}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {13.3}\string$\space n=0, k\not =0$ の西進混合ロスビー重力波}{136}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {13.3.1}\string$\space 0 < k \le 2.5$ (低波数)の場合}{136}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.8}{\ignorespaces 西進する混合ロスビー重力波の伝播メカニズム.}}{137}}
\newlabel{eq-mixed-rossby-denpa}{{13.8}{137}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.9}{\ignorespaces $n=0, k=0.6$ (低波数)の西進混合ロスビー重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-0.46, c=-1.24$). 等値線間隔は, $u,v,\Phi $の各列の下3枚が同じ. }}{138}}
\newlabel{n0_k0.6_mixed-ro-gw-west-term}{{13.9}{138}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.10}{\ignorespaces \string$\space n=0, k=0.6$ (低波数)の西進混合ロスビー重力波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, $d\zeta /dt$ を構成する各成分の水平分布($t=0, \omega =-0.46, c=-1.24$). 等値線間隔は, 下3枚が同じ. }}{139}}
\newlabel{n0_k0.6_mixed-ro-gw-west-vorticity}{{13.10}{139}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {13.3.2}\string$\space k > 2.5$ (高波数)の場合}{140}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.11}{\ignorespaces $n=0, k=3.0$ (高波数)の西進混合ロスビー重力波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =-0.30, c=-0.10$). 等値線間隔は, $u,v,\Phi $の各列の下3枚が同じ. }}{141}}
\newlabel{n0_k3.0_mixed-ro-gw-west-term}{{13.11}{141}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.12}{\ignorespaces \string$\space n=0, k=3.0$ (高波数)の西進混合ロスビー重力波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, $d\zeta /dt$ を構成する各成分の水平分布($t=0, \omega =-0.30, c=-0.10$). 等値線間隔は, 下3枚が同じ.}}{142}}
\newlabel{n0_k3.0_mixed-ro-gw-west-vorticity}{{13.12}{142}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.13}{\ignorespaces 参考図1: \string$\space n=1, k=0.6$ (低波数)(左), $n=1, k=2.0$ (高波数)(右)の東進慣性重力波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, さらに $d\zeta /dt$ を構成する各々の成分の水平分布(左: $t=0, \omega =1.83, c=3.06$, 右: $t=0, \omega =2.65, c=1.32$). 等値線間隔は, 下3枚が同じ. }}{143}}
\newlabel{n1_inertio-gw-east-vorticity}{{13.13}{143}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.14}{\ignorespaces 参考図2: \string$\space n=1, k=0.6$ (低波数)(左), $n=1, k=2.5$ (高波数)(右)の西進慣性重力波の相対渦度\string$\space \zeta $ と $d\zeta /dt$, さらに $d\zeta /dt$ を構成する各々の成分の水平分布(左: $t=0, \omega =-1.83, c=-3.06$, 右: $t=0, \omega =-3.04, c=-1.21$). 等値線間隔は, 下3枚が同じ.}}{144}}
\newlabel{n1_inertio-gw-west-vorticity}{{13.14}{144}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {13.15}{\ignorespaces 参考図3: \string$\space n=0, k=0.5$ (低波数)(左), $n=0, k=1.4$ (高波数)(右)の東進混合ロスビー重力波の場合の相対渦度\string$\space \zeta $ と$d\zeta /dt$, さらに $d\zeta /dt$ を構成する各々の成分の水平分布(左: $\omega =1.28, c=2.56$, 右: $\omega =1.92, c=1.37$). 等値線間隔は, 下3枚が同じ.}}{145}}
\newlabel{n0_mixed-ro-gw-east-vorticity}{{13.15}{145}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {14}赤道ケルビン波の水平伝播のメカニズム}{146}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{eq-kelvin-phase}{{{\prm 14.0.2}}{146}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {14.1}{\ignorespaces $n=-1, k=1.0$ (低波数)の赤道ケルビン波の(\string\ref\space {equator-shallow-water-nondim-eq-u3})〜(\string\ref\space {equator-shallow-water-nondim-eq-phi3})の各項の水平分布($t=0, \omega =1.0, c=1.0$). 等値線間隔は, $u,v,\Phi $の各々の列において下3枚が同じ. }}{148}}
\newlabel{n-1_k1.0_kelvin-w-term}{{14.1}{148}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {A}赤道波の固有値・固有関数(有次元系)}{150}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:eq-bunsan-dim-sec}{{A}{150}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {A.1}固有値問題の定式化}{150}}
\newlabel{equator-shallow-water-eq-mode-u}{{{\prm A.1.1}}{150}}
\newlabel{equator-shallow-water-eq-mode-v}{{{\prm A.1.2}}{150}}
\newlabel{equator-shallow-water-eq-mode-phi}{{{\prm A.1.3}}{150}}
\newlabel{eq:equator-shallow-water-eq-mode-only-v}{{{\prm A.1.4}}{150}}
\newlabel{equatorial-wave-bunsan}{{{\prm A.1.5}}{150}}
\newlabel{equatorial-wave-bunsan2}{{{\prm A.1.6}}{150}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {A.2}固有値, 固有関数のまとめ}{151}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {A.2.1}\string$\space \mathaccent "705E {v}\not =0$ の解}{151}}
\newlabel{eq:dim-solution_vnot=0_n=0_omega}{{{\prm A.2.7}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=0_u}{{{\prm A.2.8}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=0_v}{{{\prm A.2.9}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=0_Phi}{{{\prm A.2.10}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=1_omega1}{{{\prm A.2.11}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=1_omega2}{{{\prm A.2.12}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=1_omega3}{{{\prm A.2.13}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=1_u}{{{\prm A.2.14}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=1_v}{{{\prm A.2.15}}{151}}
\newlabel{eq:dim-solution_vnot=0_n=1_Phi}{{{\prm A.2.16}}{151}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {A.2.2}\string$\space \mathaccent "705E {v}=0$ の解}{151}}
\newlabel{eq:dim-solution_v=0_omega}{{{\prm A.2.17}}{151}}
\newlabel{eq:dim-solution_v=0_n=-1_u}{{{\prm A.2.18}}{151}}
\newlabel{eq:dim-solution_v=0_n=-1_v}{{{\prm A.2.19}}{151}}
\newlabel{eq:dim-solution_v=0_n=-1_phi}{{{\prm A.2.20}}{151}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {B}$n\ge 1$ の分散関係式の解}{152}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:eq-bunsan-nge1}{{B}{152}}
\newlabel{equatorial-wave-nondim-bunsan}{{{\prm B.0.1}}{152}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {B.1}\string$\space n\ge 1$ の場合の分散関係式の厳密解}{152}}
\newlabel{equatorial-wave-nondim-bunsan-1}{{{\prm B.1.5}}{152}}
\newlabel{equatorial-wave-nondim-bunsan-2}{{{\prm B.1.6}}{153}}
\newlabel{equation-of-A}{{{\prm B.1.10}}{153}}
\newlabel{riron-omega}{{{\prm B.1.19}}{154}}
\newlabel{a^13}{{{\prm B.1.20}}{155}}
\newlabel{theta/3}{{{\prm B.1.21}}{155}}
\newlabel{a-cos-theta}{{{\prm B.1.22}}{155}}
\newlabel{a-sin-theta}{{{\prm B.1.23}}{155}}
\newlabel{tan-theta}{{{\prm B.1.26}}{155}}
\newlabel{eq-bunsan-theory-result}{{{\prm B.1.29}}{155}}
\newlabel{theta/3-2}{{{\prm B.1.31}}{156}}
\newlabel{a^13-2}{{{\prm B.1.32}}{156}}
\newlabel{eq-bunsan-theory-result-2}{{{\prm B.1.33}}{156}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {B.2}\string$\space n\ge 1$ の場合の分散関係式の近似解}{156}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {B.2.1}Matsuno(1966)の方法}{157}}
\@writefile{toc}{\string\contentsline\space {subsection}{\string\numberline\space {B.2.2}厳密解から近似解を導く方法}{157}}
\newlabel{eq-bunsan-theory-result2}{{{\prm B.2.34}}{157}}
\newlabel{cos-theta-pi/2}{{{\prm B.2.35}}{157}}
\newlabel{sin-theta-pi/2}{{{\prm B.2.36}}{157}}
\newlabel{theta-cos}{{{\prm B.2.37}}{157}}
\newlabel{cos-theta/3-pi/2}{{{\prm B.2.38}}{158}}
\newlabel{sin-theta/3-pi/2}{{{\prm B.2.39}}{158}}
\newlabel{cos-theta/3-pi/2-2}{{{\prm B.2.40}}{158}}
\newlabel{sin-theta/3-pi/2-2}{{{\prm B.2.41}}{158}}
\newlabel{cos-theta}{{{\prm B.2.42}}{158}}
\newlabel{cos-theta/3-pi/2-3}{{{\prm B.2.43}}{158}}
\newlabel{sin-theta/3-pi/2-3}{{{\prm B.2.44}}{158}}
\newlabel{eq-bunsan-theory-result4}{{{\prm B.2.45}}{159}}
\newlabel{eq-bunsan-theory-result5}{{{\prm B.2.46}}{159}}
\newlabel{eq-rossby-bunsan-nondim}{{{\prm B.2.47}}{159}}
\newlabel{eq-inertio-gw-bunsan-nondim}{{{\prm B.2.48}}{159}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {C}赤道波方程式の各項のモード展開}{160}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{mode-expansion}{{C}{160}}
\newlabel{mode-dudt}{{{\prm C.0.1}}{160}}
\newlabel{mode-betayv}{{{\prm C.0.2}}{160}}
\newlabel{mode-dpdx}{{{\prm C.0.3}}{160}}
\newlabel{mode-dvdt}{{{\prm C.0.4}}{161}}
\newlabel{mode-betayu}{{{\prm C.0.5}}{161}}
\newlabel{mode-dpdy}{{{\prm C.0.6}}{161}}
\newlabel{mode-dpdt}{{{\prm C.0.7}}{161}}
\newlabel{mode-ghdudx}{{{\prm C.0.8}}{161}}
\newlabel{mode-ghdvdy}{{{\prm C.0.9}}{162}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {D}渦度方程式の各項のモード展開}{163}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{uzudo-eq-mode-expansion}{{D}{163}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {E}回転の無い浅水系の重力波}{166}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:pure-gravity-wave}{{E}{166}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {E.1}1次元の非回転浅水系重力波}{166}}
\newlabel{chap:pure-gravity-wave-1D}{{E.1}{166}}
\newlabel{eq:1D-gravitiy-wave-eq1}{{{\prm E.1.2}}{166}}
\newlabel{eq:1D-gravitiy-wave-eq2}{{{\prm E.1.2}}{166}}
\newlabel{eq:1D-gravitiy-wave-eq-u}{{{\prm E.1.3}}{166}}
\newlabel{eq:1D-gravitiy-wave-eq-soluv}{{{\prm E.1.4}}{166}}
\@writefile{toc}{\string\contentsline\space {section}{\string\numberline\space {E.2}2次元の非回転浅水系重力波}{167}}
\newlabel{chap:pure-gravity-wave-2D}{{E.2}{167}}
\newlabel{eq:2D-gravitiy-wave-eq1}{{{\prm E.2.9}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq2}{{{\prm E.2.10}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq3}{{{\prm E.2.11}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq1-risanka}{{{\prm E.2.12}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq2-risanka}{{{\prm E.2.13}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq3-risanka}{{{\prm E.2.14}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq-v}{{{\prm E.2.15}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq-v-soluv4}{{{\prm E.2.17}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq-v-soluv-bound-condition}{{{\prm E.2.18}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq-v-soluv5}{{{\prm E.2.21}}{167}}
\newlabel{eq:2D-gravitiy-wave-eq-v-soluv6}{{{\prm E.2.22}}{167}}
\newlabel{eq:2D-gravitiy-wave-bunsan1}{{{\prm E.2.23}}{168}}
\newlabel{eq:2D-gravitiy-wave-bunsan2}{{{\prm E.2.24}}{168}}
\newlabel{eq:2D-gravitiy-wave-eq-u-solution}{{{\prm E.2.25}}{168}}
\newlabel{eq:2D-gravitiy-wave-eq-v-solution}{{{\prm E.2.26}}{168}}
\newlabel{eq:2D-gravitiy-wave-eq-phi-solution}{{{\prm E.2.27}}{168}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {E.1}{\ignorespaces \string$\space n=1, k=1.0$ の非回転浅水重力波の圧力場と速度場の分布. 等値線はジオポテンシャル, ベクトルは速度($u,v$)を表す. 左図(東進): \string$\space \omega =1.45$, 右図(西進): \string$\space \omega =-1.45$.}}{168}}
\newlabel{non-rotation-gw-pic-n=1_k=1.0}{{E.1}{168}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {E.2}{\ignorespaces \string$\space n=1, k=0.8$ の非回転浅水重力波(東進)の\string\Deqref\space {2D-gravitiy-wave-eq1}〜\string\Deqref\space {2D-gravitiy-wave-eq3}の各項の水平分布(\string$\space t=0, \omega =1.32, c=1.65$). 等値線間隔は, \string$\space u,v,\Phi $の各々の列において下3枚が同じ.}}{169}}
\newlabel{n1_k0.8_non-rotation-gw-east-term}{{E.2}{169}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {E.3}{\ignorespaces \string$\space n=1, k=0.8$ の非回転浅水重力波(西進)の\string\Deqref\space {2D-gravitiy-wave-eq1}〜\string\Deqref\space {2D-gravitiy-wave-eq3}の各項の水平分布(\string$\space t=0, \omega =-1.32, c=-1.65$). 等値線間隔は, \string$\space u,v,\Phi $の各々の列において下3枚が同じ.}}{170}}
\newlabel{n1_k0.8_non-rotation-gw-west-term}{{E.3}{170}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {E.4}{\ignorespaces \string$\space n=1, k=1.0$ の非回転浅水重力波(東進)の\string\Deqref\space {2D-gravitiy-wave-eq1}〜\string\Deqref\space {2D-gravitiy-wave-eq3}の各項の水平分布(\string$\space t=0, \omega =1.45, c=1.45$). 等値線間隔は, \string$\space u,v,\Phi $の各々の列において下3枚が同じ.}}{171}}
\newlabel{n1_k1.0_non-rotation-gw-east-term}{{E.4}{171}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {E.5}{\ignorespaces \string$\space n=1, k=1.0$ の非回転浅水重力波(西進)の\string\Deqref\space {2D-gravitiy-wave-eq1}〜\string\Deqref\space {2D-gravitiy-wave-eq3}の各項の水平分布(\string$\space t=0, \omega =-1.45, c=-1.45$). 等値線間隔は, \string$\space u,v,\Phi $の各々の列において下3枚が同じ.}}{172}}
\newlabel{n1_k1.0_non-rotation-gw-west-term}{{E.5}{172}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {E.6}{\ignorespaces \string$\space n=1, k=1.5$ の非回転浅水重力波(東進)の\string\Deqref\space {2D-gravitiy-wave-eq1}〜\string\Deqref\space {2D-gravitiy-wave-eq3}の各項の水平分布(\string$\space t=0, \omega =1.83, c=1.22$). 等値線間隔は, \string$\space u,v,\Phi $の各々の列において下3枚が同じ.}}{173}}
\newlabel{n1_k1.5_non-rotation-gw-east-term}{{E.6}{173}}
\@writefile{lof}{\string\contentsline\space {figure}{\string\numberline\space {E.7}{\ignorespaces \string$\space n=1, k=1.5$ の非回転浅水重力波(西進)の\string\Deqref\space {2D-gravitiy-wave-eq1}〜\string\Deqref\space {2D-gravitiy-wave-eq3}の各項の水平分布(\string$\space t=0, \omega =-1.83, c=-1.22$). 等値線間隔は, \string$\space u,v,\Phi $の各々の列において下3枚が同じ.}}{174}}
\newlabel{n1_k1.5_non-rotation-gw-west-term}{{E.7}{174}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {F}\string$\space n=1, k\not =0$ の慣性重力波の構造を決める物理量}{175}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:n=1_knot=0_ig-w-phys-component}{{F}{175}}
\newlabel{sec:n=1_knot=0_ig-w-w}{{F}{175}}
\newlabel{eq:knot=0-n=1-real-u_xyt}{{{\prm F.0.1}}{175}}
\newlabel{eq:knot=0-n=1-coliolis-force}{{{\prm F.0.2}}{175}}
\newlabel{eq:knot=0-n=1-real-p_xyt}{{{\prm F.0.3}}{175}}
\newlabel{eq:n=1_knot=0_p-grad-x}{{{\prm F.0.4}}{176}}
\newlabel{eq:n=1_knot=0_p-grad-y}{{{\prm F.0.5}}{176}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {G}\string$\space n=2, k=0$ の慣性重力波の構造を決める物理量}{177}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:n=2_k=0_ig-w-phys-component}{{G}{177}}
\newlabel{eq:k=0-n=2-real-u_xyt}{{{\prm G.0.1}}{177}}
\newlabel{eq:n=2_k=0_amp_vector}{{{\prm G.0.2}}{177}}
\newlabel{eq:n=2_k=0_uv_direction}{{{\prm G.0.3}}{177}}
\newlabel{eq:k=0_uv_direction}{{{\prm G.0.4}}{178}}
\newlabel{eq:k=0-n=2-real-p_xyt}{{{\prm G.0.5}}{178}}
\newlabel{eq:n=2_k=0_p-grad}{{{\prm G.0.6}}{178}}
\@writefile{toc}{\string\contentsline\space {chapter}{\string\numberline\space {H}\string$\space n=0, k=0$ の混合ロスビー重力波の構造を決める物理量}{179}}
\@writefile{lof}{\string\addvspace\space {10pt}}
\@writefile{lot}{\string\addvspace\space {10pt}}
\newlabel{chap:n=0_k=0_mixed-ro-gw-phys-component}{{H}{179}}
\newlabel{eq:k=0-n=0-real-u_xyt}{{{\prm H.0.1}}{179}}
\newlabel{eq:n=0_k=0_amp_vector}{{{\prm H.0.2}}{179}}
\newlabel{eq:n=0_k=0_uv_direction}{{{\prm H.0.3}}{179}}
\newlabel{eq:k=0-n=0-real-p_xyt}{{{\prm H.0.4}}{180}}
\newlabel{eq:n=0_k=0_p-grad}{{{\prm H.0.5}}{180}}