Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model

被引：97
作者：
Cao, CS
Titi, ES
机构：
[1] Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA
[2] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
[3] Univ Calif Irvine, Dept Mech & Aerosp Engn, Irvine, CA 92697 USA
[4] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israel
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2003年 / 56卷 / 02期
关键词：
D O I：
10.1002/cpa.10056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a three-dimensional planetary geostrophic viscous model of the gyre-scale mid-latitude ocean. We show the global existence and uniqueness of the weak and strong solutions to this model. Moreover, we establish the existence of a finite-dimensional global attractor to this dissipative evolution system. (C) 2002 Wiley Periodicals, Inc.
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页码：198 / 233
页数：36
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