Flux approximation to the isentropic relativistic Euler equations

DOI10.1016/j.na.2015.12.002zbMath1398.35235OpenAlexW2213877300MaRDI QIDQ2634370

Yu Zhang, Han-Chun Yang

Publication date: 9 February 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.12.002

zbMATH Keywords

vacuumflux approximationLorentz transformationdelta shock waveisentropic relativistic Euler equationspressureless relativistic Euler equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Euler equations (35Q31)

Related Items (22)

Vanishing flux perturbation, pressure, and magnetic field limit in a Chaplygin magnetogasdynamics ⋮ Vanishing viscosity limit for Riemann solutions to zero-pressure gas dynamics with flux perturbation ⋮ Flux-approximation limits of solutions to the brio system with two independent parameters ⋮ Concentration phenomenon of Riemann solutions for the relativistic Euler equations with the extended Chaplygin gas ⋮ Flux approximation to the Aw-Rascle model of traffic flow ⋮ Vanishing viscosity limit for Riemann solutions to a class of non-strictly hyperbolic systems ⋮ Delta shocks and vacuum states in the Euler equations for nonisentropic magnetogasdynamics with the flux perturbation ⋮ Delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the isentropic Euler system for Chaplygin gas ⋮ Limits of solutions to the isentropic Euler equations for van der Waals gas ⋮ Limits of solutions to the Aw-Rascle traffic flow model with generalized Chaplygin gas by flux approximation ⋮ Delta-shocks and vacuums in the relativistic Euler equations for isothermal fluids with the flux approximation ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to a simplified isentropic relativistic Euler equations ⋮ The singular limits of solutions to the Riemann problem for the liquid–gas two-phase isentropic flow model ⋮ The limits of Riemann solutions to the relativistic van der Waals fluid ⋮ Concentration and cavitation in the vanishing pressure limit of solutions to the generalized Chaplygin Euler equations of compressible fluid flow ⋮ Limits of solutions to the relativistic Euler equations for modified Chaplygin gas by flux approximation ⋮ Solutions with concentration and cavitation to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas ⋮ Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state ⋮ Pressure and flux-approximation to the isentropic relativistic Euler equations for modified Chaplygin gas ⋮ Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity ⋮ Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation ⋮ Formation of vacuum state and delta shock wave for the relativistic Euler system for polytropic gas with the varying \(\gamma\)-law

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