Global existence for the primitive equations with small anisotropic viscosity | Zendy

Frédéric Charve | Zendy; Van-Song Ngo | Zendy

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Global existence for the primitive equations with small anisotropic viscosity

Author(s) -

Frédéric Charve,

Van-Song Ngo

Publication year - 2011

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/629

Subject(s) - viscosity , primitive equations , anisotropy , mathematics , mathematical analysis , classical mechanics , physics , pure mathematics , differential equation , simultaneous equations , thermodynamics , optics

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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