Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish

DOI10.1007/s13324-022-00692-8zbMath1504.35376arXiv1503.08382OpenAlexW2258373232MaRDI QIDQ2144415

Zhi-Qiang Shao

Publication date: 13 June 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08382

zbMATH Keywords

Riemann problemChaplygin gastransport equationsnumerical simulationsvacuum stateisentropic magnetogasdynamics\(\delta\)-shock

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) Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

Delta shocks and vacuum states in the Riemann solutions of Chaplygin Euler equations as pressure and magnetic field drop to zero ⋮ Delta shock formation for the isothermal and logarithmic-corrected Chaplygin Euler equations ⋮ Formation of delta-shocks for the Chaplygin gas equations by logarithmic pressure perturbation ⋮ Vanishing magnetic field limits of solutions to the isentropic Chaplygin gas magnetogasdynamics equations ⋮ Stability of delta shock solution for the simplified magnetohydrodynamics equations under the linear flux-function perturbation

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