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

作　　者：江松 欧耀彬 

机构地区：[1]LCP, Institute of Applied Physics and Computational Mathematics

出　　处：《Acta Mathematica Scientia》2010年第6期1851-1864,共14页数学物理学报（B辑英文版）

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

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.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.

关 键 词：blow-up criteria strong solutions compressible Navier-Stokes equations heat-conductive flows 

分 类 号：O357[理学—流体力学]