The Time Periodic Solution for Camassa-Holm Equation

被引：0

作者：

付一平

机构：

[1] Dept of Applied Math

[2] South China Univ of Tech

[3] Guangzhou Guangdong

[4] 不详

[5] P R

来源：

数学进展 | 2003年 / 03期

关键词：

for; as; it; in; time; is; that;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

<正> 1 Introduction and Preliminaries In thiS paper,we are interested in one dimensional viscous Camassa-Holm equatin u_t-uxxt-γ(uxx-uxxxx)+3uux=uuxxx+2uxuxx+f（x,t）,x∈Ω,t>0,（1）where Ω=[0,L],γ>0 is the constant viscosity and the forcing term f is ω-periodic in time t.We shall prove that under a periodic boundary condition

引用

页码：377 / 378

页数：2

共 5 条

[1] Adams,A.R. Sobolev spaces, Pure and Applied Mathematics . 1975
[2] On the cauchy problem for the periodic Camasssa-Holm equation. Constantin A. Journal of Differential Equations . 1997
[3] The three dimensional viscous Camassa-Holm equations and their relation to the Navier-Stokes equation and turbulence theory. Ciprian Foias,Darryl D Holm and Edriss S Titi. J. Dynamics and Differential Equation . 2002
[4] The time-speriodic solution to a 2D generalized Ginzburg-Landau equation. Guo Boling and Yuan Rong. Journal of Mathematical Analysis and Applications . 2002
[5] The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory[J] . Ciprian Foias,Darryl D. Holm,Edriss S. Titi. &nbspJournal of Dynamics and Differential Equations . 2002 (1)

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