Blow-up criterion for three-dimensional compressible viscoelastic fluids with vacuum

被引：1

作者：

Liu, Sheng Quan ^{[1
,2
]}

Zhao, Jun Ning ^{[2
]}

机构：

[1] Liaoning Univ, Sch Math, Shenyang 110036, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 06期

关键词：

Compressible viscoelastic fluids; strong solutions; vacuum; blow-up criterion; BOUNDARY VALUE-PROBLEMS; GLOBAL EXISTENCE; SMOOTH SOLUTIONS; EQUATIONS; SPACE;

D O I：

10.1007/s10114-013-1569-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a Cauchy problem for the equations of 3D compressible viscoelastic fluids with vacuum. We establish a blow-up criterion for the local strong solutions in terms of the upper bound of the density and deformation gradient.

引用

页码：1159 / 1174

页数：16

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