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Wang, Y. and Xin, Z. (2005) Zero-Viscosity Limit of the Linearized Compressible Navier-Stokes Equations with Highly Oscillatory Forces in the Half-Plane. SIAM Journal on Mathematical Analysis, 37, 1256-1298.
https://doi.org/10.1137/040614967

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.