A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

被引：1

作者：

Kong, Huihui ^{[1
]}

Li, Hai-Liang ^{[1
]}

Zhang, Xingwei ^{[2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

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

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 04期

关键词：

Blow-up criterion; spherically symmetric; free boundary; compressible Navier-Stokes equations; CLASSICAL-SOLUTIONS; GLOBAL-SOLUTIONS; WELL-POSEDNESS;

D O I：

10.1016/S0252-9602(16)30060-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider the free boundary value problem of 3D isentropic compressible Navier-Stokes equations. A blow-up criterion in terms of the maximum norm of gradients of velocity is obtained for the spherically symmetric strong solution in terms of the regularity estimates near the symmetric center and the free boundary respectively.

引用

页码：1153 / 1166

页数：14

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