\(L^p\)-decay rates for perturbations of degenerate scalar viscous shock waves

DOI10.1016/j.jmaa.2011.04.091zbMath1227.35209OpenAlexW2045327366MaRDI QIDQ549822

Ramón G. Plaza

Publication date: 18 July 2011

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.2011.04.091

zbMATH Keywords

energy estimatesRankine-Hugoniot jump conditiongeneralized entropy conditionMatsumura-Nishihara weight functionsecond-order viscosity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Foundations of fluid mechanics (76A02) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear stability of degenerate shock profiles.
• Stability of degenerate stationary waves for viscous gases
• Semigroups of linear operators and applications to partial differential equations
• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
• The persistence of ideal shock waves
• Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
• Nonlinear stability of shock fronts for a relaxation system in several space dimensions
• Local tracking and stability for degenerate viscous shock waves
• Asymptotic stability of traveling waves for viscous conservation laws with dispersion
• Pointwise estimates and stability for degenerate viscous shock waves
• Hyperbolic systems of conservation laws II
• Continuity of Solutions of Parabolic and Elliptic Equations
• Stability of Viscous Scalar Shock Fronts in Several Dimensions
• Weakly Nonlinear Detonation Waves
• On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas
• Asymptotic stability of critical viscous shock waves for a degenerate hyperbolic viscous conservation laws¹
• Pointwise semigroup methods and stability of viscous shock waves
• Pointwise Green's function approach to stability for scalar conservation laws
• L^p ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES
• STABILITY OF SHOCK PROFILES FOR NONCONVEX SCALAR VISCOUS CONSERVATION LAWS
• Pointwise Green's Function Estimates Toward Stability for Degenerate Viscous Shock Waves
• Some problems in the theory of quasilinear equations

This page was built for publication: \(L^p\)-decay rates for perturbations of degenerate scalar viscous shock waves