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arXiv · 1311.6064

Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model

Chongsheng Cao·Aseel Farhat·Edriss S. Titi
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Abstract

We establish, for smooth enough initial data, the global well-posedness (existence, uniqueness and continuous dependence on initial data) of solutions, for an inviscid three-dimensional {\it slow limiting ocean dynamics} model. This model was derived as a strong rotation limit of the rotating and stratified Boussinesg equations with periodic boundary conditions. To establish our results we utilize the tools developed for investigating the two-dimensional incompressible Euler equations and linear transport equations. Using a weaker formulation of the model we also show the global existence and uniqueness of solutions, for less regular initial data.

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Chongsheng Cao, Aseel Farhat, Edriss S. Titi. 2013-11-23. Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model. https://arxiv.org/abs/1311.6064

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