Existence and Properties of Semidiscrete Shock Profiles for the Isentropic Gas Dynamic System with $\gamma=3$

DOI10.1137/S0036142999355714zbMath1002.76062MaRDI QIDQ2706392

Alexis F. Vasseur

Publication date: 19 March 2001

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

existenceconservation lawsemidiscrete schemekinetic formulationasymptotic shock profileequilibrium functionisentropic gas dynamic systemtransport collapse method

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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