Global H-regularity Results of the 3d Primitive Equations of the Ocean
نویسندگان
چکیده
In this article, we consider the 3D viscous primitive equations (PEs for brevity) of the ocean under two physically relevant boundary conditions for the H and H smooth initial data, respectively. The H regularity result of the solution for the viscous PEs of the ocean has been unknown since the work by Cao and Titi [3], and Kobelkov [26]. In this article we provide the global H-regularity results of the solution and its time derivatives for the 3D viscous primitive equations of the ocean by using the L estimates developed in [3] and some new energy estimate techniques.
منابع مشابه
Global Well–posedness of the Three-dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics
In this paper we prove the global existence and uniqueness (regularity) of strong solutions to the three-dimensional viscous primitive equations, which model large scale ocean and atmosphere dynamics. MSC Subject Classifications: 35Q35, 65M70, 86-08,86A10.
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