Wave-front tracking for the equations of isentropic gas dynamics

DOI10.1090/S0033-569X-04-00935-8zbMath1074.35068MaRDI QIDQ5464384

Fumioki Asakura

Publication date: 17 August 2005

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

Full work available at URL: http://www.ams.org/distribution/qam/2005-63-01/S0033-569X-04-00935-8/home.html

zbMATH Keywords

asymptotic decaycontinuation of shock fronts

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (8)

Delta shocks interactions and the wave front tracking method ⋮ Hypersonic similarity for the two dimensional steady potential flow with large data ⋮ Continuous dependence of entropy solutions to the Euler equations on the adiabatic exponent and Mach number ⋮ Global existence of solutions by path decomposition for a model of multiphase flow ⋮ Front tracking for a model of immiscible gas flow with large data ⋮ THE SOLUTION OF THE CAUCHY PROBLEM WITH LARGE DATA FOR A MODEL OF A MIXTURE OF GASES ⋮ Wave-front tracking for the equations of non-isentropic gas dynamics ⋮ The path decomposition technique for systems of hyperbolic conservation laws

Cites Work

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• The large time stability of sound waves
• Polygonal approximations of solutions of the initial value problem for a conservation law
• A Front-Tracking Alternative to the Random Choice Method
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• Solutions in the large for some nonlinear hyperbolic conservation laws

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