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Pré-Publication, Document De Travail Année : 2020

Hydrostatic approximation of the 2D primitive equations in a thin strip

Résumé

We prove the global wellposedness of the 2D non-rotating primitive equations with no-slip boundary conditions in a thin strip of width ε for small data which are analytic in the tangential direction. We also prove that the hydrostatic limit (when ε → 0) is a couple of a Prandtl-like system for the velocity with a transport-diffusion equation for the temperature.
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Dates et versions

hal-02883890 , version 1 (29-06-2020)

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Nacer Aarach, Van-Sang Ngo. Hydrostatic approximation of the 2D primitive equations in a thin strip. 2020. ⟨hal-02883890⟩
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