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 $\varepsilon^\alpha$ 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).
Citation
Frédéric Charve . Van-Sang Ngo . "Global existence for the primitive equations with small anisotropic viscosity." Rev. Mat. Iberoamericana 27 (1) 1 - 38, January, 2011.
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