Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line

zbMath1246.35037MaRDI QIDQ411703

Yoshihiro Ueda, Itsuko Hashimoto

Publication date: 30 April 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1332337237

zbMATH Keywords

stationary solutionrarefaction wavenonlinear convection term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems ⋮ Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions

Cites Work

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• LARGE TIME BEHAVIOR OF SOLUTIONS TO A SEMILINEAR HYPERBOLIC SYSTEM WITH RELAXATION
• Stability of travelling wave solutions to a semilinear hyperbolic system with relaxation
• Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves

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