# The pressureless limits of Riemann solutions to the Euler equations of one-dimensional compressible fluid flow with a source term

@inproceedings{Sheng2019ThePL,
title={The pressureless limits of Riemann solutions to the Euler equations of one-dimensional compressible fluid flow with a source term},
author={Shouqiong Sheng and Zhiqiang Shao},
year={2019}
}
• Published 2019
In this paper, we study the limits of Riemann solutions to the inhomogeneous Euler equations of one-dimensional compressible fluid flow as the adiabatic exponent $\gamma$ tends to one. Different from the homogeneous equations, the Riemann solutions of the inhomogeneous system are non self-similar. It is rigorously shown that, as $\gamma$ tends to one, any two-shock Riemann solution tends to a delta shock solution of the pressureless Euler system with a source term, and the intermediate density… CONTINUE READING