Global solutions for initial-boundary value problem of quasilinear wave equations

DOI10.1016/j.jde.2008.02.013zbMath1157.35068OpenAlexW2021984388MaRDI QIDQ931650

Ying-Chin Su, Cheng-Hsiung Hsu, John M. Hong

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.013

zbMATH Keywords

contraction mapping principleboundary layerquasilinear wave equationLax's methodgeneralized Glimm's methodhyperbolic system of balance lawsinitial and boundary Riemann problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (6)

Global entropy solutions to a class of quasi-linear wave equations with large time-oscillating sources ⋮ The initial-boundary value problem of hyperbolic integro-differential systems of nonlinear balance laws ⋮ Concentration of source terms in generalized Glimm scheme for global entropy solutions of nonlinear hyperbolic balance laws ⋮ Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients ⋮ Generalized Glimm scheme to the initial boundary value problem of hyperbolic systems of balance laws ⋮ The generalized Buckley-Leverett and the regularized Buckley-Leverett equations

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