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

作     者：江松 欧耀彬 

作者机构：LCP Institute of Applied Physics and Computational Mathematics 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2010年第30卷第6期

页      面：1851-1864页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the China Postdoctoral Science Foundation (20090450333) supported by the National Basic Research Program (2005CB321700) NSFC (40890154) 

主　　题：blow-up criteria strong solutions compressible Navier-Stokes equations heat-conductive flows 

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.