Existence and stability of rarefaction wave to 1-D piston problem for the relativistic full Euler equations

DOI10.1016/j.jde.2017.02.028zbMath1375.35343OpenAlexW2592714690MaRDI QIDQ2400598

Min Ding

Publication date: 29 August 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.02.028

zbMATH Keywords

asymptotic behaviorrarefaction waveinteraction of wavesrelativistic Euler equationspiston problemwave front tracking method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shock waves and blast waves in fluid mechanics (76L05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Hypersonic flows (76K05) Euler equations (35Q31)

Related Items (7)

Newtonian Limits and Global Stability of Shock Solutions for Piston Problem to the Relativistic Full Euler System ⋮ Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system ⋮ Stability of contact discontinuities to 1-D piston problem for the compressible Euler equations ⋮ One dimensional piston problem for compressible Euler equations of generalized Chaplygin gas ⋮ Non-relativistic limits of contact discontinuities to 1-d piston problem for the relativistic full Euler system ⋮ Non-relativistic limits and stability of composite wave patterns to the relativistic Euler equations ⋮ Stability of shock solutions to piston problem for the magnetohydrodynamics

Cites Work

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• Large-time behavior of solutions of initial and initial-boundary value problems of a general system of hyperbolic conservation laws
• Conservation laws for relativistic fluid dynamics
• A singular multi-dimensional piston problem in compressible flow
• Local existence and non-relativistic limits of shock solutions to a multidimensional piston problem for the relativistic Euler equations
• Stability and non-relativistic limits of rarefaction wave to the 1-D piston problem for the relativistic Euler equations
• A multidimensional Piston problem for the Euler equations for compressible flow
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• Hyperbolic systems of conservation laws II
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• Non-relativistic limits of rarefaction wave to the 1-D piston problem for the isentropic relativistic Euler equations
• Global existence and non-relativistic global limits of entropy solutions to the 1D piston problem for the isentropic relativistic Euler equations
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
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