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EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTION OF THE EVOLUTION SYSTEM DESCRIBING GEOPHYSICAL FLOW-PART I: IN BOUNDED DOMAINS 被引量:1

EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTION OF THE EVOLUTION SYSTEM DESCRIBING GEOPHYSICAL FLOW-PART I: IN BOUNDED DOMAINS
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摘要 The existence and uniqueness of a strong periodic solution of the evolution system describing geophysical flow in bounded domains of RN (N = 3, 4) are proven if external forces are periodic in time and sufficiently small.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第3期385-396,共12页 数学年刊(B辑英文版)
基金 the Special Funds for Major State Basic Research Projects of China(No.G1999032801) and the National Natural Science Foundation
关键词 Existence and uniqueness Periodic solution Evolution system Geophysical flow 存在性 唯一性 强周期解 有界域 发展系统
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参考文献2

  • 1Qu S,J Math Anal Appl,1994年,183卷,3期,1003页
  • 2Zhao C,Math Methods Appl Sci

同被引文献5

  • 1Foias C,Temam R.Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations[J].J Math Pures Appl,1979,58:339-368.
  • 2Igor Kukavica.An absence of a certian class of periodic solutions in the Navier-Stokes equations[J].J Dynam Differential Equations,1994,6:175-183.
  • 3Sermange M,Temam R.Some mathematical questions related to the MHD equations[J].Comm Pure Appl Math,1983,ⅩⅩⅩⅥ:635-664.
  • 4Marko A Rojas-Medar,Jose Luiz Boldrini.Global strong solutions of equations of magne-tohydrodynamic type[J].J Austral Math Soc Ser B,1997,38:291-306.
  • 5Constantin P,Foias C.Navier-Stokes Equations[M].Chicago: University of Chicago Press,1988.

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