Dynamical stability of steady normal shock structures for potential flow

Speaker: 肖峰 副教授，湖南师范大学

Inviter: 王勇

Title: Dynamical stability of steady normal shock structures for potential flow

Language: Chinese

Time & Venue: 2026.6.30 13:00-15:00   腾讯会议：410-888-151

Abstract: In this talk, I will talk about the dynamical stability problem of steady normal shocks for potential flows in 2D and 3D.The dynamical stability problem will be formulated as an initial boundary value problem of non-linear hyperbolic equations of second order in non-smooth domain. Due to the non-smoothness of the space-domain, it is difficult for us to establish the well-posedness of the linearized problem and the energy estimates. By introducing proper extension method and modified partial hodograph transform, we are able to overcome these difficulties and the dynamical stability of the steady normal shocks can be established. This is based on works joint with Prof. Beixiang Fang, Prof. Feimin Huang and Prof. Wei Xiang.