TIME-ASYMPTOTIC STABILITY OF BOUNDARY-LAYERS FOR A HYPERBOLIC RELAXATION SYSTEM

DOI10.1081/PDE-100106135zbMath0997.35007OpenAlexW1985620332MaRDI QIDQ2769489

Wen-An Yong, Hai-liang Liu

Publication date: 13 November 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-100106135

zbMATH Keywords

nonlinear stabilityasymptotic expansionsboundary layer functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

Asymptotic stability and relaxation for fast chemistry fluids ⋮ Kinetic approximation of a boundary value problem for conservation laws ⋮ STABILITY OF STEADY SOLUTIONS TO REACTION-HYPERBOLIC SYSTEMS FOR AXONAL TRANSPORT ⋮ Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model ⋮ A Nonlinear Discrete Velocity Relaxation Model For Traffic Flow

Cites Work

• Asymptotic behavior for scalar viscous conservation laws with boundary effect
• Hyperbolic conservation laws with relaxation
• Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex nonlinearity
• Asymptotic stability of shock profiles for nonconvex convection-diffusion equation
• The initial boundary value problems for hyperbolic conservation laws with relaxation
• Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model
• Asymptotic limit of initial boundary value problems for conservation laws with relaxational extensions
• Boundary conditions for hyperbolic systems with stiff source terms
• The Asymptotic Behavior of the Hyperbolic Conservation Laws with Relaxation on the Quarter-Plane
• Stability of a Relaxation Model with a Nonconvex Flux
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• Existence and asymptotic stability of traveling wave solutions of a model system for reacting flow
• The \(L^1\)-stability of boundary layers for scalar viscous conservation laws