Flux approximations to the Euler equations of Gas Dynamics
- 报告人： 杨汉春教授云南大学数学与统计学院
- 报告地址： 长江数学中心409
- 报告时间： 2017年1月5日（周四）16:30-17:30
This talk discusses the influences of pressures and flux approximations on the phenomena of concentration and cavitation and the formation of delta-shocks and vacuum states in solutions to the Euler equations of gas dynamics. We develop a flux approximation method to analyze the formation of delta-shocks and vacuums in solutions to the Euler equations of isentropic and nonisentropic gas dynamics, as well as relativistic fluids. Our results show that the flux approximations of difference have their respective effect on the formation of delta-shocks and vacuums in fluid dynamics. Our results also show that both the delta shock wave and vacuum are stable under some flux small perturbations. Finally we present some numerical results which confirm theoretical analysis.