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Global existence for the primitive equations with small anisotropic viscosity

Abstract : In this paper, we consider the primitive equations with zero vertical viscosity, zero vertical thermal diffusivity, and the horizontal viscosity and horizontal thermal diffusivity of size epsilon(alpha) where 0 < alpha < alpha(0). We prove the global existence of a unique strong solution for large data provided that the Rossby number is small enough (the rotation and the vertical stratification are large).
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693001
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Submitted on : Tuesday, May 1, 2012 - 7:23:18 PM
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  • HAL Id : hal-00693001, version 1

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Frederic Charve, Van-Sang Ngo. Global existence for the primitive equations with small anisotropic viscosity. Revista Matemática Iberoamericana, European Mathematical Society, 2011, 27 (1), pp.1--38. ⟨hal-00693001⟩

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