Limits of solutions to the relativistic Euler equations for modified Chaplygin gas by flux approximation

DOI10.1007/s10440-019-00286-wzbMath1459.35316OpenAlexW2969275888WikidataQ127354178 ScholiaQ127354178MaRDI QIDQ2023028

Yu Zhang, Han-Chun Yang

Publication date: 3 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-019-00286-w

zbMATH Keywords

vacuumflux approximationRiemann problemLorentz transformationdelta shock waverelativistic Euler equationsmodified Chaplygin gasvanishing pressure limit

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Euler equations (35Q31)

Related Items (6)

The limit behavior of Riemann solutions to the Euler equations of compressible fluid flow for the modified Chaplygin gas ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the relativistic Euler equations with the logarithmic equation of state ⋮ The emergence of delta shock in the limit process for two‐dimensional steady nonisentropic relativistic Euler flow onto a straight wedge ⋮ Concentration in the zero-exponent limit of solutions to the isentropic Euler equations for extended Chaplygin gas ⋮ The phenomena of concentration and cavitation in the Riemann solution for the isentropic zero-pressure dusty gasdynamics ⋮ Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation

Cites Work

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• Delta-shocks and vacuums in the relativistic Euler equations for isothermal fluids with the flux approximation
• Conservation laws for the relativistic P-system
• Note on the compressible Euler equations with zero temperature

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