Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations

DOI10.1016/j.aim.2023.108963OpenAlexW4324355471MaRDI QIDQ2695733

Moon-Jin Kang, Alexis F. Vasseur, Yi Wang

Publication date: 5 April 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06590

zbMATH Keywords

stabilityshiftcompressible Navier-Stokes equationsrarefaction waveviscous shock wave\(a\)-contraction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Compressible Navier-Stokes equations (76N06)

Related Items (2)

Large-Time Behavior of Composite Waves of Viscous Shocks for the Barotropic Navier–Stokes Equations ⋮ Asymptotic stability of the combination of a viscous contact wave with two rarefaction waves for 1-D Navier-Stokes equations under periodic perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Criteria on contractions for entropic discontinuities of systems of conservation laws
• Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscous coefficient
• \(L^2\)-type contraction for systems of conservation laws
• \(L^{2}\)-contraction for shock waves of scalar viscous conservation laws
• Asymptotic stability of viscous shock wave for a one-dimensional isentropic model of viscous gas with density dependent viscosity
• Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-\(BV\) perturbations
• \(L ^{2}\) stability estimates for shock solutions of scalar conservation laws using the relative entropy method
• On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• The second law of thermodynamics and stability
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• On the stability of waves of nonlinear parabolic systems
• Nonlinear stability of viscous shock waves
• Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
• Nonlinear stability of large amplitude viscous shock wave for general viscous gas
• \(L^2\)-type contraction for shocks of scalar viscous conservation laws with strictly convex flux
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation
• Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics
• \(L^2\)-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws
• Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system
• Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems
• Well-posedness of the Riemann problem with two shocks for the isentropic Euler system in a class of vanishing physical viscosity limits
• About the relative entropy method for hyperbolic systems of conservation laws
• Relative entropy and contraction for extremal shocks of conservation laws up to a shift
• Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations
• Nonlinear stability of shock waves for viscous conservation laws
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
• Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems
• Shock Waves
• Contraction for large perturbations of traveling waves in a hyperbolic–parabolic system arising from a chemotaxis model
• Shock waves in conservation laws with physical viscosity

This page was built for publication: Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations