Can I read Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation on EtoBox?

Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation by Yu Zhang; Yanyan Zhang is a scholarly article available to read on EtoBox.

What is Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation about?

## Abstract We are concerned with the vanishing flux-approximation limits of solutions to the isentropic relativistic Euler equations governing isothermal perfect fluid flows. The Riemann problem with a two-parameter flux approximation including pressure term is first solved. Then, we study the limits of solutions when the pressure and two-parameter flux approximation vanish, respectively. It is shown that, any two-shock-wave Riemann solution converges to a delta-shock solution of the pressureless relativistic Euler equations, and the intermediate density between these two shocks tends to a weighted δ-measure that forms a delta shock wave. By contract, any two-rarefaction-wave solution tends to a two-contact-discontinuity solution of the pressureless relativistic Euler equations, and the intermediate state in between tends to a vacuum state.

Author

Yu Zhang; Yanyan Zhang

Publisher

Walter de Gruyter GmbH

Published

2021

Language

EN