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

Preprint 2006-006

Vanishing Viscosity Limit to Rarefaction Waves for the Navier–Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids

Song Jiang, Guoxi Ni, and Wenjun Sun

Abstract: We prove the solution of the Navier–Stokes equations for one-dimensional compressible heat-conducting fluids with centered rarefaction data of small strength exists globally in time, and moreover, as the viscosity and heat-conductivity coefficients tend to zero, the global solution converges to the centered rarefaction wave solution of the corresponding Euler equations uniformly away from the initial discontinuity.

Paper:
Available as PDF (340 Kbytes).
Author(s):
Song Jiang,
Guoxi Ni,
Wenjun Sun,
Publishing information:
Comments:
Submitted by:
; 2006-02-22.