Japan Geoscience Union Meeting 2019

Presentation information

[J] Poster

A (Atmospheric and Hydrospheric Sciences ) » A-OS Ocean Sciences & Ocean Environment

[A-OS19] Dynamics of oceanic and atmospheric waves, vortices, and circulations

Mon. May 27, 2019 3:30 PM - 5:00 PM Poster Hall (International Exhibition Hall8, Makuhari Messe)

convener:Yuki Tanaka(Graduate School of Science, The University of Tokyo), Ryo Furue(APL/JAMSTEC), Yukiharu Hisaki(University of the Ryukyus), Norihiko Sugimoto(Keio University, Department of Physics)

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

*andrei giniatoulline1, german tobar1 (1.Department of Mathematics, Los Andes University, Bogota, Colombia, South America)

Keywords: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.