The existence of solution for viscous Camassa-Holm equations on bounded domain in five dimensions

被引：3

作者：

Yu, Yongjiang ^{[1
,2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 429卷 / 02期

关键词：

Viscous Camassa-Holm equations; Weak solution; Strong solution; NAVIER-STOKES EQUATIONS; GLOBAL WELL-POSEDNESS; REGULARITY; SPACES; EULER; DECAY;

D O I：

10.1016/j.jmaa.2015.04.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of global weak solution and local existence of strong solution for five-dimensional viscous Camassa-Holm equations on bounded domain are proved in this note. The global existence of strong solution is also proved when small initial data is given. (C) 2015 Elsevier. Inc. All rights reserved.

引用

页码：849 / 872

页数：24

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