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January  2007, 17(1): 159-179. doi: 10.3934/dcds.2007.17.159

The global attractor for the solutions to the 3D viscous primitive equations

Ning Ju 1,

1. 

Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK 74078, United States

Received  March 2006 Revised  August 2006 Published  October 2006

Existence of the global attractor is proved for the strong solutions to the 3D viscous Primitive Equations (PEs) modeling large scale ocean and atmosphere dynamics. This result is obtained under the natural assumption that the external heat source $Q$ is square integrable. Furthermore, it is shown in [20] that the fractal and Hausdroff dimensions of the global attractor for 3D viscous PEs are both finite.
Keywords: 3D viscous Primitive Equations, global attractor..
Mathematics Subject Classification: 35B41, 35Q35, 37L, 65M70, 86A1.
Citation: Ning Ju. The global attractor for the solutions to the 3D viscous primitive equations. Discrete and Continuous Dynamical Systems, 2007, 17 (1) : 159-179. doi: 10.3934/dcds.2007.17.159
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