標題: On the Asymptotic Stability Analysis and the Existence of Time-Periodic Solutions of the Primitive Equations
作者: Hsia, Chun-Hsiung
Shiue, Ming-Cheng
應用數學系
Department of Applied Mathematics
關鍵字: time-periodic solutions;primitive equations;asymptotic stability
公開日期: 2013
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.
URI: http://hdl.handle.net/11536/23735
ISSN: 0022-2518
期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL
Volume: 62
Issue: 2
起始頁: 403
結束頁: 441
Appears in Collections:Articles