Vanishing pressure and magnetic field limit of solutions to the nonisentropic magnetogasdynamics

DOI10.1002/zamm.201700116OpenAlexW2801897029MaRDI QIDQ6086248

Jinhuan Wang, Han-Chun Yang

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201700116

zbMATH Keywords

transport equationsvacuum statesdelta shocksRiemann solutionvanishing pressure limitnonisentropic magnetogasdynamics

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

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 shocks and vacuum states in the Euler equations for nonisentropic magnetogasdynamics with the flux perturbation ⋮ Delta shock wave as self-similar viscosity limit for a strictly hyperbolic system of conservation laws ⋮ Delta shocks and vacuums to the isentropic Euler equations with the flux perturbation for van der Waals gas ⋮ Pressure and flux-approximation to the isentropic relativistic Euler equations for modified Chaplygin gas

Cites Work

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• New developments of delta shock waves and its applications in systems of conservation laws
• Delta shock waves with Dirac delta function in both components for systems of conservation laws
• Concentration and cavitation in the Euler equations for nonisentropic fluids with the flux approximation
• The limits of Riemann solutions to the isentropic magnetogasdynamics
• Delta-shocks and vacuums in zero-pressure gas dynamics by the flux approximation
• Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases
• Magnetohydrodynamic shock wave decay
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. I: Four-\(J\) cases
• Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• The Riemann problem of conservation laws in magnetogasdynamics
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• Concentration in vanishing pressure limit of solutions to the modified Chaplygin gas equations
• Solution to the Riemann problem in a one-dimensional magnetogasdynamic flow
• Delta wave formation and vacuum state in vanishing pressure limit for system of conservation laws to relativistic fluid dynamics
• The Riemann Problem in Gas Dynamics
• The Riemann problem for the transportation equations in gas dynamics
• Sticky Particles and Scalar Conservation Laws
• Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure 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
• Generalized plane delta-shock waves for \(n\)-dimensional zero-pressure gas dynamics
• Well posedness for pressureless flow

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