Translator Disclaimer
March 2009 Viscous Limits to Piecewise Smooth Solutions for the Navier-Stokes Equations of One-dimensional Compressible Viscous Heat-conducting Fluids
Shixiang Ma
Methods Appl. Anal. 16(1): 1-32 (March 2009).

Abstract

In this paper, we study the zero dissipation limit problem for the Navier-Stokes equations of one-dimensional compressible viscous heat-conducting fluids. We prove that if the solution of the inviscid Euler equations is piecewise smooth with finitely many noninteracting shocks satisfying the entropy condition, then there exist solutions to Navier-Stokes equations which converge to the inviscid solution away from shock discontinuities at a rate of $\epsilon^1$ as the viscosity $\epsilon$ tend to zero, provided that the heat-conducting coefficient $k = 0($\epsilon$).

Citation

Download Citation

Shixiang Ma. "Viscous Limits to Piecewise Smooth Solutions for the Navier-Stokes Equations of One-dimensional Compressible Viscous Heat-conducting Fluids." Methods Appl. Anal. 16 (1) 1 - 32, March 2009.

Information

Published: March 2009
First available in Project Euclid: 19 October 2009

zbMATH: 1188.35137
MathSciNet: MR2556826

Subjects:
Primary: 35Q30, 76N15

Rights: Copyright © 2009 International Press of Boston

JOURNAL ARTICLE
32 PAGES


SHARE
Vol.16 • No. 1 • March 2009
Back to Top