A Blow-up Criterion of Strong Solutions to the Compressible Viscous Heat-Conductive Flows with Zero Heat Conductivity

被引：4

作者：

Fan, Jishan ^{[2
]}

Zhou, Yong ^{[1
]}

机构：

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

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

来源：

ACTA APPLICANDAE MATHEMATICAE | 2011年 / 116卷 / 03期

关键词：

Blow-up criterion; Navier-Stokes equations; Zero heat conductivity; NAVIER-STOKES EQUATIONS; FLUIDS; REGULARITY; BOUNDARY; MOTION;

D O I：

10.1007/s10440-011-9645-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the compressible Navier-Stokes equations of viscous heat-conductive fluids in a periodic domain T-3 with zero heat conductivity k = 0. We prove a blow-up criterion for the local strong solutions in terms of the temperature and positive density, similar to the Beale-Kato-Majda criterion for ideal incompressible flows.

引用

页码：317 / 327

页数：11

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