On the structure of solutions of nonlinear hyperbolic systems of conservation laws

DOI10.3934/cpaa.2011.10.1011zbMath1252.35194OpenAlexW2322772418WikidataQ57386461 ScholiaQ57386461MaRDI QIDQ652016

Monica Torres, Gui-Qiang G. Chen

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.1011

zbMATH Keywords

conservation lawshyperbolic systemscompactnessbounded variationentropy solutionscompensated compactnessentropy methodsbehavior of solutionsdivergence-measure fieldsblowup argumentsscalingsstructure of entropy solutions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Wave equation (35L05) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Calculus of vector functions (26B12) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) Degenerate hyperbolic equations (35L80) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

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