The global attractor for the solutions to the 3D viscous primitive equations
The global attractor for the solutions to the 3D viscous primitive equations
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DOI：
10.3934/dcds.2007.17.159
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发表时间：
2006-10
影响因子：
1.1
通讯作者：
N. Ju
中科院分区：
文献类型：
--
作者：
N. Ju
证明了模拟大尺度海洋和大气动力学的三维粘性原始方程(PES)强解的整体吸引子的存在性。这一结果是在外部热源Q是平方可积的自然假设下得到的。此外，文献[20]还证明了三维粘性PES的整体吸引子的分维和Hausdroff维都是有限的。
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.