Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity

C Shen, M Sun - Journal of Differential Equations, 2022 - Elsevier
The exact Riemann solutions are constructed in completely explicit forms for the drift-flux
equations of the one-dimensional inviscid, compressible and isentropic liquid-gas two …

Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state

M Sun - Nonlinear Analysis: Real World Applications, 2020 - Elsevier
The analytical solutions of the Riemann problem for the isentropic Euler system with the
logarithmic equation of state are derived explicitly for all the five different cases. The …

Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw–Rascle model

C Shen, M Sun - Journal of Differential Equations, 2010 - Elsevier
A traffic flow model describing the formation and dynamics of traffic jams was introduced by
Berthelin et al., which consists of a constrained pressureless gas dynamics system and can …

The transition of Riemann solutions for the drift-flux model with the pressure law for the extended Chaplygin gas

C Shen - Physics of Fluids, 2023 - pubs.aip.org
The complete Riemann solutions for the drift-flux model with the pressure law given both for
the extended Chaplygin gas and also for the Chaplygin gas are solved in fully explicit forms …

[HTML][HTML] Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas

H Yang, J Wang - Journal of Mathematical Analysis and Applications, 2014 - Elsevier
The phenomena of concentration and cavitation and the formation of δ-shocks and vacuum
states in solutions to the isentropic Euler equations for a modified Chaplygin gas are …

[PDF][PDF] THE VANISHING PRESSURE LIMITS OF RIEMANN SOLUTIONS TO THE CHAPLYGIN GAS EQUATIONS WITH A SOURCE TERM.

L Guo, GAN YIN, T LI - Communications on Pure & Applied …, 2017 - researchgate.net
We study the vanishing pressure limits of Riemann solutions to the Chaplygin gas equations
with a source term. The phenomena of concentration and cavitation to Chaplygin gas …

The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term

A Sen, T Raja Sekhar - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
We investigate the limiting behavior of the Riemann solution to the isentropic Euler
equations for logarithmic equation of state with the Coulomb‐like friction term. The formation …

The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law

C Shen, M Sun - Physica D: Nonlinear Phenomena, 2023 - Elsevier
The exact Riemann solutions are presented in fully explicit forms for the one-dimensional
isentropic Euler system of gas dynamics with the body force, in which the shock and …

The intrinsic phenomena of cavitation and concentration in Riemann solutions for the isentropic two-phase model with the logarithmic equation of state

M Sun - Journal of Mathematical Physics, 2021 - pubs.aip.org
The Riemann solutions for a simplified two-phase flow model with the logarithmic equation
of state are obtained in fully explicit forms for all four possible different structures. The …

The vanishing pressure limits of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the logarithmic equation of state

X Xin, M Sun - Chaos, Solitons & Fractals, 2024 - Elsevier
Two kinds of Riemann solutions for the Aw-Rascle hydrodynamic traffic flow model with the
logarithmic equation of state are explicitly obtained by using the combination between 1 …