A BLOW-UP CRITERION FOR COMPRESSIBLE VISCOUS HEAT-CONDUCTIVE FLOWS

被引：0
|
作者：
江松 [1 ]
欧耀彬 [1 ]
机构：
[1] LCP, Institute of Applied Physics and Computational Mathematics
来源：
Acta Mathematica Scientia | 2010年 / 30卷 / 06期
基金：
中国博士后科学基金;
关键词：
blow-up criteria; strong solutions; compressible Navier-Stokes equations; heat-conductive flows;
D O I：
暂无
中图分类号：
O357 [粘性流体力学];
学科分类号：
080103 ; 080704 ;
摘要：
We study an initial boundary value problem for the Navier-Stokes equations of compressible viscous heat-conductive fluids in a 2-D periodic domain or the unit square domain. We establish a blow-up criterion for the local strong solutions in terms of the gradient of the velocity only, which coincides with the famous Beale-Kato-Majda criterion for ideal incompressible flows.
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页码：1851 / 1864
页数：14
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