Time periodic solution of the viscous Camassa-Holm equation

被引：18

作者：

Fu, YP ^{[1
]}

Guo, BL

机构：

[1] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 313卷 / 01期

关键词：

Camassa-Holm equation; time periodic solution; Galerkin method; Leray-Schauder fixed point theorem;

D O I：

10.1016/j.jmaa.2005.08.073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the viscous Camassa-Holm equation with a periodic boundary condition. The existence and uniqueness of a time periodic solution are investigated by using the Galerkin method and Leray-Schauder fixed point theorem. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：311 / 321

页数：11

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