@article{984b3c9d0d1d4a45a50162aa2e50c6a0, title = "Vanishing Viscosity Limit of the Compressible Navier-Stokes Equations for Solutions to a Riemann Problem", abstract = "We study the vanishing viscosity limit of the compressible Navier-Stokes equations to the Riemann solution of the Euler equations that consists of the superposition of a shock wave and a rarefaction wave. In particular, it is shown that there exists a family of smooth solutions to the compressible Navier-Stokes equations that converges to the Riemann solution away from the initial and shock layers at a rate in terms of the viscosity and the heat conductivity coefficients. This gives the first mathematical justification of this limit for the Navier-Stokes equations to the Riemann solution that contains these two typical nonlinear hyperbolic waves. {\textcopyright} 2011 Springer-Verlag.", author = "Feimin Huang and Yi Wang and Tong Yang", year = "2012", month = feb, doi = "10.1007/s00205-011-0450-y", language = "English", volume = "203", pages = "379--413", journal = "Archive for Rational Mechanics and Analysis", issn = "0003-9527", publisher = "Springer", number = "2", }