Existence of global smooth solution to the initial boundary value problem for \(p\)-system with damping

DOI10.1016/j.na.2008.03.032zbMath1162.35409OpenAlexW2078011438MaRDI QIDQ1004653

Jing Zhang, Lizhi Ruan, Mi'na Jiang

Publication date: 11 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.032

zbMATH Keywords

maximum principlea priori estimatesdampingcharacteristic methodglobal smooth solutions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (6)

Convergence to strong nonlinear diffusion waves for solutions to \(p\)-system with damping on quadrant ⋮ Existence and asymptotic behavior of global smooth solution for \(p\)-system with damping and boundary effect ⋮ The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping ⋮ The 3D non-isentropic compressible Euler equations with damping in a bounded domain ⋮ Decay of the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping

Cites Work

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