Strong convergence of approximate solutions for nonlinear hyperbolic equation without convexity

DOI10.1016/J.JMAA.2007.08.050zbMath1138.35058OpenAlexW2001873233MaRDI QIDQ2467793

Zhixin Cheng

Publication date: 28 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.08.050

zbMATH Keywords

entropy solutionscompensated compactnessscalar conservation laws\(L^p\)-solutionsLax entropies

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items (1)

Relaxation limit for a symmetrically hyperbolic system

Cites Work

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• La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d'espace. (Compensated compactness for 2\(\times 2\) hyperbolic systems of conservation laws)
• Convergence of solutions to nonlinear dispersive equations without convexity conditions
• Convergence of solution to nonlinear dispersive equations
• Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics

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