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.
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页码：2508 / 2518
页数：11
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