Conserving the wrong variables in gas dynamics: A Riemann solution with singular shocks

DOI10.1090/S0033-569X-2012-01317-1zbMath1250.35142MaRDI QIDQ2911105

Charis Tsikkou, Barbara Lee Keyfitz

Publication date: 12 September 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

isentropic gas dynamicsgeometric singular perturbation theoryDafermos regularizationnonhyperbolicity

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06)

Related Items (5)

Singular shocks in a chromatography model ⋮ Viscous singular shock profiles for a system of conservation laws modeling two-phase flow ⋮ On existence and admissibility of singular solutions for systems of conservation laws ⋮ A numerical scheme for singular shock solutions and a study of its consistence in the sense of distributions ⋮ Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics

Cites Work

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