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arxiv: 1401.1234 · v1 · pith:VHSMWFZGnew · submitted 2014-01-06 · 🧮 math.AP · physics.ao-ph· physics.flu-dyn· physics.geo-ph

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

classification 🧮 math.AP physics.ao-phphysics.flu-dynphysics.geo-ph
keywords equationsglobalhorizontalprimitivesolutionsstrongwell-posednessatmospheric
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In this paper, we consider the initial-boundary value problem of the 3D primitive equations for oceanic and atmospheric dynamics with only horizontal diffusion in the temperature equation. Global well-posedness of strong solutions are established with $H^2$ initial data.

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