\(L ^{p}\)-convergence rate to diffusion waves for \(p\)-system with relaxation.

DOI10.1016/S0022-247X(02)00674-1zbMath1106.35316MaRDI QIDQ1856993

Changjiang Zhu, Zheng-An Yao

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Convergence rateAsymptotic behaviorRelaxationAsymptotic profile

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Perturbations in context of PDEs (35B20)

Related Items (5)

Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping ⋮ Global Stability of Strong Rarefaction Waves of the Jin–Xin Relaxation Model for thep-System ⋮ Generalized Riemann problems and exact solutions for \(p\)-systems with relaxation ⋮ CONVERGENCE RATES TO ASYMPTOTIC PROFILE FOR SOLUTIONS OF QUASILINEAR HYPERBOLIC EQUATIONS WITH LINEAR DAMPING ⋮ Conservation laws for $2 \times 2 $ hyperbolic systems

Cites Work

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• Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
• Nonlinear stability of shock fronts for a relaxation system in several space dimensions
• Long-time effect of relaxation for hyperbolic conservation laws
• Convergence rates to travelling waves for a nonconvex relaxation model
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• The Asymptotic Behavior of the Hyperbolic Conservation Laws with Relaxation on the Quarter-Plane

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