Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity
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math.AP
physics.ao-phphysics.flu-dynphysics.geo-ph
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equationsgloballocalprimitivesolutionsstrongverticalwell-posedness
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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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