学术活动
On the free boundary problem of compressible Euler equations in physical vacuum with general initial densities
2015-06-09
点击次数:主 讲 人:郝成春 副教授(中科院数学与系统科学研究院)
时 间: 2015年6月9日(周二)15:00-16:00
地 点: 必赢76net线路官网北一区文科楼 708 教室
主 办 单 位: 必赢76net线路官网数学科学学院
内 容 介 绍:In this talk, I will show a priori estimates for the three-dimensional compressible Euler equations with moving physical vacuum boundary, the $/gamma$-gas law equation of state for $/gamma=2$ and the general initial density $/rho_0 /in H^5$. I derive a mixed space-time interpolation inequality which play a vital role in the energy estimates and obtain some extra estimates for the space-time derivatives of the velocity in $L^3$, which is different from the known results.