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.