Decay rates of strong planar rarefaction waves to scalar conservation laws with degenerate viscosity in several space dimensions

DOI10.1090/S0002-9947-09-04634-0zbMath1196.35134OpenAlexW2083605071MaRDI QIDQ3552090

Changjiang Zhu, Jing Chen

Publication date: 13 April 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04634-0

zbMATH Keywords

energy methoddecay ratesa priori estimatesviscous conservation lawsstrong planar rarefaction waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45)

Related Items (1)

\(L^p\)-decay rates of planar viscous rarefaction wave for scalar conservation law with degenerate viscosity in \(n\)-dimensions

Cites Work

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• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Existence of weak solutions for a degenerate generalized Burgers equation with large initial data
• Rarefactions and large time behavior for parabolic equations and monotone schemes
• Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
• Nonlinear stability of strong planar rarefaction waves for the relaxation approximation of conservation laws in several space dimensions
• Asymptotic behavior of solutions for \(p\)-system with relaxation
• Decay rates of solutions to dissipative nonlinear evolution equations with ellipticity
• Asymptotic stabilitiy of rarefaction wave for generalized Burgers equation
• A note on the stability of the rarefaction wave of the Burgers equation
• The long time asymptotics of solutions to the generalized Burgers equation
• Asymptotic solutions of model equations in nonlinear acoustics
• Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions
• ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES OF SOLUTIONS FOR VISCOUS CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS
• Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions

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