Shock Structures Described by Hyperbolic Balance Laws

DOI10.1137/18M1216390zbMath1412.35250OpenAlexW2918986016WikidataQ114847149 ScholiaQ114847149MaRDI QIDQ4627161

Samuel A. Falle, Robin J. R. Williams

Publication date: 7 March 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1216390

zbMATH Keywords

stabilityshock structuresystem of balance laws

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) PDEs in connection with astronomy and astrophysics (35Q85)

Cites Work

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• On the shock structure problem for hyperbolic system of balance laws and convex entropy
• Hyperbolic principal subsystems: Entropy convexity and subcharacteristic conditions
• Dissipative structure and entropy for hyperbolic systems of balance laws
• Entropy and global existence for hyperbolic balance laws
• Some comments on wave propagation and shock wave structure with application to magnetohydrodynamics
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Non-convex entropies for conservation laws with involutions
• On the structure of shock waves

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