On the eigenvalues of internal waves of rotating exponentially stratified three-dimensional fluid

andrei giniatoulline

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[E] ポスター発表

セッション記号 A (大気水圏科学) » A-CG 大気海洋・環境科学複合領域・一般

[A-CG36] 海洋と大気の波動・渦・循環の力学

2022年6月2日(木) 11:00 〜 13:00 オンラインポスターZoom会場 (13) (Ch.13)

コンビーナ:青木邦弘(国立研究開発法人　海洋研究開発機構)、コンビーナ:Keating Shane R(University of New South Wales)、久木幸治(琉球大学)、コンビーナ:杉本憲彦(慶應義塾大学　法学部　日吉物理学教室)、座長:青木邦弘(国立研究開発法人　海洋研究開発機構)、Shane R Keating(University of New South Wales)、久木幸治(琉球大学)、杉本憲彦(慶應義塾大学　法学部　日吉物理学教室)

11:00 〜 13:00

[ACG36-P03] On the eigenvalues of internal waves of rotating exponentially stratified three-dimensional fluid

*andrei giniatoulline¹ (1.Department of Mathematics, Los Andes University, Bogota, Colombia, South America)

キーワード：Oceanic waves, Atmospheric waves, Internal vibrations of the fluid, Eigenvalues and Eigenfunctions, Essential spectrum

We study a model of fluid dynamics which describes three-dimensional flows in the Ocean or Atmosphere with the consideration of non-homogeneous initial density due to the gravitational force, together with the consideration of the rotation of the Earth. For the internal waves caused by the Coriolis force and the gravitational force, we find the spectrum of normal vibrations and investigate its structure and localization. We find the eigenvalues and the corresponding eigenfunctions of the spectrum for the domains of the sphere, cylinder and parallelepiped. We also prove that the essential spectrum of internal waves is composed of the limit points of the found eigenvalues.