Jiang, S., Ni, G. and Sun, W. (2012) Vanishing Viscosity Limit to Rarefaction Waves for the Navier-Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids. SIAM Journal on Mathematical Analysis, 38, 368-384.

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.