报告题目：

On Admissible Locations of Transonic Shock-Fronts for Steady Euler Flows in an Almost Flat Finite Nozzle

报 告 人：

方北香 教授（上海交通大学）

报告时间：

2018年03月27日 10:00--11:00

报告地点：

理学院东北楼四楼报告厅（404）

报告摘要：

In this talk, we are concerned with the inviscid 2-D steady Euler flow pattern with a single shock front in an almost flat finite nozzle,which enters the nozzle with a supersonic state and leave with a subsonic one. The nozzle is almost flat in the sense that its boundary is a general perturbation of a flat one. We are going to determine the whole flow pattern, including the location of the shock front, the supersonic flow field ahead of it and the subsonic flow field behind it, with the prescribed receiver pressure at the exit of the nozzle. The key difficulty is the information of the approximate location of the shock front. We are going to overcome this difficulty by designing a free boundary problem for the linearized Euler system which will yield useful information on the initial approximation location of the shock front. With these information, we can then further apply a nonlinear iteration scheme to determine the whole flow patten in the nozzle, including the location of the shock front. This is ajoint work with Prof. Zhouping Xin.