Regularity Criteria for the Viscous Camassa-Holm Equations

被引：19

作者：

Zhou, Yong ^{[1
]}

Fan, Jishan ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2009年 / 2009卷 / 13期

关键词：

NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; PRESSURE; TERMS;

D O I：

10.1093/imrn/rnp023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the viscous n-dimensional Camassa-Holm equations in the whole space. Various regularity criteria for the strong solution are established. As a corollary, we show the existence of a global smooth solution when n <= 4.

引用

页码：2508 / 2518

页数：11

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