[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | All | Home ]

Preprint 2009-031

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

Jishan Fan, Song Jiang and Yaobin Ou

Abstract: 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 the velocity only, similar to the Beale–Kato–Majda criterion for ideal incompressible flows.

Paper:
Available as PDF (160 Kbytes).
Author(s):
Jishan Fan
Song Jiang
Yaobin Ou
Publishing information:
Comments:
Submitted by:
; 2009-06-11.