Asymptotic behavior of solutions to a hyperbolic system with relaxation and boundary effect
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Publication:1570751
DOI10.1006/jdeq.1999.3741zbMath0949.35087OpenAlexW2060554536MaRDI QIDQ1570751
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
initial boundary value problemrarefaction wavestationary wavehyperbolic system with relaxationstability of steady statesuperposition of waves
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
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