Stability of traveling waves for Hamilton-Jacobi equations with finite speed perturbations.

DOI10.1016/S0022-0396(03)00120-7zbMath1060.35017OpenAlexW1985462390MaRDI QIDQ1412355

Zhixiong Chen

Publication date: 10 November 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(03)00120-7

zbMATH Keywords

energy normRankine-Hugoniot conditionhyperbolic perturbationplanar wave solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for nonlinear first-order PDEs (35F25)

Cites Work

• Nonlinear asymptotic stability of viscous shock profiles for conservation laws
• Nonlinear stability of shock fronts for a relaxation system in several space dimensions
• Stability of Viscous Scalar Shock Fronts in Several Dimensions
• Viscosity Solutions of Hamilton-Jacobi Equations
• Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes
• Relaxation schemes for curvature-dependent front propagation
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions