报告人：陈桢栋博士（上海交通大学）

报告时间：4月18号 14：00-15：00

腾讯会议号： 296-763-533

报告摘要： In this talk, we show the shock formation of the solutions to the 3-dimensional (3D) compressible isentropic and irrotational Euler equations with damping for the initial short pulse data. Due to the damping effect, the largeness of the initial data is necessary for the shock formation, and we will work on the class of large data (in the energy sense). Similar to the undamped case, the formation of shock is characterized by the collapse of the characteristic hypersurfaces and the vanishing of the inverse foliation density function μ, at which the first derivatives of the velocity and the density blow up. However, the damping effect changes the asymptotic behavior of the inverse foliation density function μ and then shifts the time of shock formation compared with the undamped case.