Limit behavior of the approximate solutions to hyperbolic conservation laws with two linearly degenerate fields on some zero measure sets

DOI10.1016/S0362-546X(99)00442-3zbMath0986.35067OpenAlexW2076318363WikidataQ126583060 ScholiaQ126583060MaRDI QIDQ5945669

Changjiang Zhu

Publication date: 10 February 2002

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/s0362-546x(99)00442-3

zbMATH Keywords

oscillationcompensated compactness\(L^\infty\) initial dataentropy-entropy flux pair

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

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• Convergence of approximate solutions to conservation laws
• 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)
• The Cauchy problem for the system \(\partial_ tz - \partial_ x(\bar z^ y) = 0\)
• Convergence of viscosity solutions for \(2\times 2\) hyperbolic conservation laws with one characteristic field linearly degenerate on some zero measure sets
• Hyperbolic systems of conservation laws II
• Propagation and cancellation of oscillations for hyperbolic systems of conservation laws
• Young Measures and an Application of Compensated Compactness to One-Dimensional Nonlinear Elastodynamics

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