On the Asymptotic Stability Analysis and the Existence of Time-Periodic Solutions of the Primitive Equations

被引：7

作者：

Hsia, Chun-Hsiung ^{[1
]}

Shiue, Ming-Cheng ^{[2
]}

机构：

[1] Natl Taiwan Univ, Inst Appl Math Sci, Taipei 10617, Taiwan

[2] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2013年 / 62卷 / 02期

关键词：

time-periodic solutions; primitive equations; asymptotic stability; NAVIER-STOKES EQUATIONS; GLOBAL WELL-POSEDNESS; LARGE-SCALE OCEAN; REPRODUCTIVE PROPERTY; DYNAMICS; UNIQUENESS; ATTRACTOR; DOMAINS;

D O I：

10.1512/iumj.2013.62.4902

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we prove an asymptotic stability criterion for the solutions of primitive equations defined on a three-dimensional finite cylindrical domain with time-dependent forcing terms. Under a suitable smallness assumption on the nontrivial forcing terms, we obtain the existence of the time periodic solution for the primitive equations. Moreover, this time-periodic solution is asymptotically stable in L-2 sense.

引用

页码：403 / 441

页数：39

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