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

被引：95

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.

引用

页码：337 / 350

页数：14

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