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Xin, Z. (1993) Zero Dissipation Limit to Rarefaction Waves for the One-Dimensional Navier-Stokes Equations of Compressible Isentropic Gases. Communications on Pure and Applied Mathematics, 46, 621-665.
https://doi.org/10.1002/cpa.3160460502

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.