日本地球惑星科学連合2019年大会

講演情報

[J] ポスター発表

セッション記号 A (大気水圏科学) » A-OS 海洋科学・海洋環境

[A-OS19] 海洋と大気の波動・渦・循環力学

2019年5月27日(月) 17:15 〜 18:30 ポスター会場 (幕張メッセ国際展示場 8ホール)

コンビーナ:田中 祐希(東京大学大学院理学系研究科)、古恵 亮(APL/JAMSTEC)、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)

[AOS19-P06] Mathematical description of the internal waves in a proximity of the bottom of the Ocean.

*andrei giniatoulline1german tobar1 (1.Department of Mathematics, Los Andes University, Bogota, Colombia, South America)

キーワード:Internal waves, Stratified fluid, Rotating fluid, Boundary layer

We construct an explicit solution for a boundary value problem in a layer at the bottom of the Ocean for a system of partial differential equations which describes the motion of a viscous rotating stratified fluid.
As an effect of Coriolis and gravitational forces, there arise internal waves in the fluid. We prove the existence and uniqueness of the solution.
For a model in the half-space, for the constructed solutions we find the asymptotical behavior for large values of t. We prove the existence of the following boundary layer phenomena: the asymptotical decay of the solution is slower as we approach the boundary plane of the bottom.
The obtained results can be used not only for modeling the flows at the bottom of the Ocean, but also for the flows in the lower Atmosphere.