Gues, O., Metivier, G., Williams, M. and Zumbrun, K. (2004) Multidimensional Viscous Shocks II: The Small Viscosity Limit. Communications on Pure and Applied Mathematics, 57, 141-218.
has been cited by the following article:
TITLE: Dissipation Limit for the Compressible Navier-Stokes to Euler Equations in One-Dimensional Domains
AUTHORS: Shangfei Cui
KEYWORDS: Compressible Navier-Stokes Equations, Vanishing Viscosity Limit, Rarefaction Waves, Euler Equations
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.10, October 29, 2018
ABSTRACT: We prove that as the viscosity and heat-conductivity coefficients tend to zero, respectively, the global solution of the Navier-Stokes equations for one-dimensional compressible heat-conducting fluids with centered rarefaction data of small strength converges to the centered rarefaction wave solution of the corresponding Euler equations uniformly away from the initial discontinuity.