报告题目：Stability of Transonic Shocks past 3-D Wedges

报告时间：2023-12-06 16:30-17:30

报 告 人 ：陈俊  副教授  三峡大学

报告地点：理学院东北楼一楼学术报告厅（110）

Abstract：Stability of transonic shocks attached to wedges is a problem with a long history dating back to Prandtl, who conjectured in 1936 that out of two types of shocks—strong and weak shocks, the weak ones are stable. I will talk about the stability of three dimensional transonic shocks governed by the 3-D potential flow equation. It is showed that for a piecewise constant weak transonic shock flow, if the incoming flow and the wedge are slightly perturbed, there exists a unique weak transonic shock solution, which is also a small perturbation from the background solution. The connection between the shock condition and the elliptic estimates will be explained. I will also introduce a recent result about the stability of strong transonic shocks over 3-D wedges. We show that the strong shocks near normal shock regime are stable.