Vanishing magnetic field limits of solutions to the isentropic Chaplygin gas magnetogasdynamics equations

DOI10.1007/s40840-022-01362-5zbMath1501.35326OpenAlexW4289261900MaRDI QIDQ2091145

Zhi-Qiang Shao

Publication date: 31 October 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01362-5

zbMATH Keywords

shock waverarefaction wavedelta shockRiemann solutionsChaplygin gas equationsisentropic Chaplygin gas magnetogasdynamics equationsvanishing magnetic field limits

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

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• The Riemann problem for the transportation equations in gas dynamics
• Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
• Note on the compressible Euler equations with zero temperature

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