Zero Dissipation Limit to Rarefaction Wave with Vacuum for One-Dimensional Compressible Navier–Stokes Equations

Feimin Huang, Mingjie Li, Yi Wang

Type: Article

Publication Date: 2012-01-01

Citations: 39

DOI: https://doi.org/10.1137/100814305

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SIAM Journal on Mathematical Analysis - View

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Works Cited by This (16)

Action	Title	Year	Authors
+	Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas	1986	Akitaka Matsumura Kenji Nishihara
+	Viscous limits for piecewise smooth solutions of the p-system	2004	Huiying Wang
+	Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier–Stokes equations	2010	Zhouping Xin Huihui Zeng
+	On the vacuum state for the isentropic gas dynamics equations	1980	T.-P Liu Joel Smoller
+	Viscous limits for piecewise smooth solutions to systems of conservation laws	1992	Jonathan Goodman Zhouping Xin
+	Zero dissipation limit of the compressible heat-conducting navier-stokes equations in the presence of the shock	2008	Wang Yi
+	Vanishing Viscosity Limit of the Compressible Navier–Stokes Equations for Solutions to a Riemann Problem	2011	Feimin Huang Yi Wang Tong Yang
+	Zero dissipation limit to strong contact discontinuity for the 1-D compressible Navier–Stokes equations	2009	Shixiang Ma
+	Zero-Dissipation Limit of Solutions with Shocks for Systems of Hyperbolic Conservation Laws	1999	Shih‐Hsien Yu
+	Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier–Stokes equations under large perturbation	2009	Feimin Huang Xiaohong Qin