LARGE TIME BEHAVIOR OF SOLUTIONS TO A SEMILINEAR HYPERBOLIC SYSTEM WITH RELAXATION

DOI10.1142/S0219891607001082zbMath1125.35015WikidataQ126271172 ScholiaQ126271172MaRDI QIDQ3435284

Shuichi Kawashima, Yoshihiro Ueda

Publication date: 25 April 2007

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

zbMATH Keywords

damped wave equationnonlinear diffusion wavehyperbolic system with relaxationasymptotic decay of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

A class of uniformly dissipative symmetric hyperbolic-hyperbolic systems ⋮ Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation ⋮ Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line ⋮ Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems ⋮ Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation ⋮ Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions

Cites Work

• Hyperbolic conservation laws with relaxation
• Long-time effect of relaxation for hyperbolic conservation laws
• Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions

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