Asymptotic behavior of solutions to a hyperbolic system with relaxation and boundary effect

DOI10.1006/jdeq.1999.3741zbMath0949.35087OpenAlexW2060554536MaRDI QIDQ1570751

Tong Yang, Huijiang Zhao

Publication date: 26 November 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3741

zbMATH Keywords

initial boundary value problemrarefaction wavestationary wavehyperbolic system with relaxationstability of steady statesuperposition of waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (10)

Generalized Riemann problems and exact solutions for \(p\)-systems with relaxation ⋮ Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant ⋮ Global stability of strong rarefaction waves for the generalized KdV-Burgers equation ⋮ Asymptotic Stability of Solutions to a Hyperbolic-Elliptic Coupled System of Radiating Gas on the Half Line ⋮ Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system ⋮ Nonlinear stability of strong rarefaction waves for the generalized KdV-Burgers-Kuramoto equation with large initial perturbation ⋮ A case study of global stability of strong rarefaction waves for \(2\times 2\) hyperbolic conservation laws with artificial viscosity ⋮ Asymptotic stability of rarefaction waves for the generalized KdV-Burgers equation on the half-line ⋮ Conservation laws for $2 \times 2 $ hyperbolic systems ⋮ Asymptotic behavior of solutions to the generalized BBM-Burgers equation

Cites Work

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• Long-time effect of relaxation for hyperbolic conservation laws
• Nonlinear stability with decay rate for traveling wave solutions of a hyperbolic system with relaxation
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves

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