\(\delta'\)-shock waves as a new type of singular solutions to hyperbolic systems of conservation laws

DOI10.1134/S106456240602030XzbMath1327.35247MaRDI QIDQ492343

Evgeny Yu. Panov, Vladimir Shelkovich

Publication date: 20 August 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)

Cites Work

• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Spaces of weighted measures for conservation laws with singular shock solutions
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• Unnamed Item

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