Viscous limits for piecewise smooth solutions of the \(p\)-system

DOI10.1016/j.jmaa.2004.03.064zbMath1062.35091OpenAlexW1989682158MaRDI QIDQ703879

Hui-Ying Wang

Publication date: 12 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.064

zbMATH Keywords

energy methodconvergence ratevanishing viscositymatching methodviscous gas equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15)

Related Items (12)

Zero dissipation limit to rarefaction waves for the one-dimensional compressible Navier-Stokes equations with selected density-dependent viscosity ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations ⋮ Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations ⋮ Zero dissipation limit to a rarefaction wave with a vacuum for a compressible, heat conducting reacting mixture ⋮ Viscous limits of the compressible Navier–Stokes equations to piecewise smooth solutions with two interacting out-going shocks ⋮ The inviscid limit for an inflow problem of compressible viscous gas in presence of both shocks and boundary layers ⋮ Viscous limit to contact discontinuity for the 1-D compressible Navier-Stokes equations ⋮ Convergence to the superposition of rarefaction waves and contact discontinuity for the 1-D compressible Navier-Stokes-Korteweg system ⋮ Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem ⋮ The inviscid limits to piecewise smooth solutions for a general parabolic system ⋮ The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients ⋮ Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations

Cites Work

• Unnamed Item
• Convergence of the viscosity method for isentropic gas dynamics
• Viscous limits for piecewise smooth solutions to systems of conservation laws
• Convergence to travelling fronts of solutions of the \(p\)-system with viscosity in the presence of a boundary
• Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases
• Remarks on DiPerna’s paper “Convergence of the viscosity method for isentropic gas dynamics”
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
• Initial boundary value problems for hyperbolic systems
• L₂ is a continuable initial condition for kreiss' mixed problems

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