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

作者：Fan, Jishan; Jiang, Song; Ou, Yaobin^*

来源：ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 27(1): 337-350.

DOI：10.1016/j.anihpc.2009.09.012

• Blow-up criterion
• Strong solutions
• Compressible Navier-Stokes equations
• Heat-conductive flows

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.

• 出版日期2010-2
• 单位南京林业大学; 北京应用物理与计算数学研究所