Stability of Transonic Shocks Past Wedges

Speaker: 陈俊教授，三峡大学数学研究中心

Inviter: 王勇

Title: Stability of Transonic Shocks Past Wedges

Language: Chinese 

Time & Venue: 2026.06.22   15:00-16:00   Zoom: 860 0191 1355（密码: 487634）

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 mainly talk about the stability of both strong and weak shocks for the 2-D case. I will explain how to obtain the corner regularity and the asymptotic behavior of the subsonic flow at far field through the elliptic estimates. The stability of three dimensional transonic shocks governed by the 3-D potential flow equation will also be mentioned.