Stability of a Relaxation Model with a Nonconvex Flux

DOI10.1137/S003614109629903XzbMath0961.35017OpenAlexW2035106226MaRDI QIDQ4389001

Jinghua Wang, Tong Yang, Hai-liang Liu

Publication date: 11 May 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003614109629903x

zbMATH Keywords

travelling waveshock profileRankine-Hugoniot and entropy conditionssubcharacteristic speed

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)

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Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow ⋮ CONVERGENCE RATES TO SUPERPOSITION OF TWO TRAVELLING WAVES OF THE SOLUTIONS TO A RELAXATION HYPERBOLIC SYSTEM WITH BOUNDARY EFFECTS ⋮ Global Entropy Solutions and Zero Relaxation Limit for Greenberg--Klar--Rascle Multilane Traffic Flow Model ⋮ Asymptotic stability of relaxation shock profiles for hyperbolic conservation laws. ⋮ Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system ⋮ Convergence to traveling waves with decay rates for solutions of the initial boundary problem to a relaxation model ⋮ Global smooth solution to a hyperbolic system on an interval with dynamic boundary conditions ⋮ The \(L^p\) stability of relaxation rarefaction profiles ⋮ TIME-ASYMPTOTIC STABILITY OF BOUNDARY-LAYERS FOR A HYPERBOLIC RELAXATION SYSTEM ⋮ Critical thresholds in hyperbolic relaxation systems ⋮ A RELAXATION METHOD VIA THE BORN–INFELD SYSTEM ⋮ Convergence rates to travelling waves for a nonconvex relaxation model ⋮ Asymptotic behavior of solutions for \(p\)-system with relaxation

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