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arXiv · 1401.1234

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

Chongsheng Cao·Jinkai Li·Edriss S. Titi
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Abstract

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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Chongsheng Cao, Jinkai Li, Edriss S. Titi. 2014-01-06. Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity. https://arxiv.org/abs/1401.1234

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