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Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

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arxiv 1312.6035 v1 pith:NV2DHOFS submitted 2013-12-20 math.AP physics.ao-phphysics.flu-dynphysics.geo-ph

Chongsheng Cao , Jinkai Li , Edriss S. Titi This is my paper · ORCID
classification math.APphysics.ao-phphysics.flu-dynphysics.geo-ph
keywords equationsgloballocalprimitivesolutionsstrongverticalwell-posedness
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abstract

In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with $H^2$ initial data.

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