16 citations · 22 across the 7 of their papers we have counts for
7 papers
Measure solutions to piston problem for compressible fluid flow of generalized chaplygin gas
Meixiang Huang, Yuanjin Wang, Zhiqiang Shao
We study the piston problem of the compressible fluid flow with the generalized Chaplygin gas. Depending on the inferential critical value of Mach number, we prove that, there exis…
Piston problem to the isentropic Euler equations for modified Chaplygin gas
Meixiang Huang, Yuanjin Wang, Zhiqiang Shao
In this paper, we solve constructively the piston problem for one-dimensional isentropic Euler equations of modified Chaplygin gas. In solutions, we prove rigorously the global exi…
The pressureless limits of Riemann solutions to the Euler equations of one-dimensional compressible fluid flow with a source term
Shouqiong Sheng, Zhiqiang Shao
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 tends to one.…
Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow
Shouqiong Sheng, Zhiqiang Shao
In this paper, we study the limiting behavior of Riemann solutions to the Euler equations of one-dimensional compressible fluid flow as tends to one. We show that the limit sol…
Concentration in vanishing adiabatic exponent limit of solutions to the Aw-Rascle traffic model
Shouqiong Sheng, Zhiqiang Shao
In this paper, we study the phenomenon of concentration and the formation of delta shock wave in vanishing adiabatic exponent limit of Riemann solutions to the Aw-Rascle traffic mo…
Delta shocks in the relativistic full Euler equations for a Chaplygin gas
Zhiqiang Shao
The relativistic full Euler equations for a Chaplygin gas are studied. The Riemann problem is solved constructively. There are two kinds of Riemann solutions, in which one consists…
Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish
Zhiqiang Shao
This paper is concerned with the Riemann problem for the isentropic Chaplygin gas magnetogasdynamics equations and the formation of delta shocks and vacuum states as pressure and m…