Existence of global \(L^\infty\) solutions to a generalized \(n \times n\) hyperbolic system of quadratic type

DOI10.1016/j.aml.2016.04.017zbMath1347.35150OpenAlexW2352968683MaRDI QIDQ308898

Fangqi Chen, Zejun Wang, Shu-Jun Liu

Publication date: 6 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.04.017

zbMATH Keywords

compensated compactnessviscosity methodlinearly degenerate characteristic fields

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Viscosity solutions to PDEs (35D40)

Cites Work

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• Existence of global bounded weak solutions to a symmetric system of Keyfitz-Kranzer type
• Solution of the Riemann problem for a prototype 2\(\times 2\) system of non-strictly hyperbolic conservation laws
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• The interactions of elementary waves of nonstrictly hyperbolic system
• Existence and uniqueness of solutions for some hyperbolic systems of conservation laws
• Hyperbolic systems of conservation laws with a symmetry

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