Stability and non-relativistic limits of rarefaction wave to the 1-D piston problem for the relativistic Euler equations

DOI10.1007/s00033-017-0787-7zbMath1369.35049OpenAlexW2591699430MaRDI QIDQ2359018

Min Ding, Ya-Chun Li

Publication date: 27 June 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0787-7

zbMATH Keywords

rarefaction waveinteraction of wavesrelativistic Euler equationspiston problemwave front tracking method

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Initial-boundary value problems for first-order hyperbolic systems (35L50) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Related Items (6)

Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system ⋮ Existence and stability of rarefaction wave to 1-D piston problem for the relativistic full Euler equations ⋮ Stability of contact discontinuities to 1-D piston problem for the compressible Euler equations ⋮ 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

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