A blow-up criterion for compressible viscous heat-conductive flows

被引：89
|
作者：
Fan, Jishan [2 ]
Jiang, Song [1 ]
Ou, Yaobin [1 ]
机构：
[1] Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China
[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2010年 / 27卷 / 01期
关键词：
Blow-up criterion; Strong solutions; Compressible Navier-Stokes equations; Heat-conductive flows; NAVIER-STOKES EQUATIONS; SMOOTH SOLUTIONS; FLUIDS; MOTION;
D O I：
10.1016/j.anihpc.2009.09.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an initial boundary value problem for the three-dimensional Navier-Stokes equations of viscous heat-conductive fluids in a bounded smooth domain. We establish a blow-up criterion for the local strong solutions in terms of the temperature and the gradient of velocity only. similar to the Beale-Kato-Majda criterion for ideal incompressible flows. (C) 2009 Elsevier Masson SAS. All rights reserved.
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页码：337 / 350
页数：14
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