Title: Transonic flows past wedges governed by full Euler equations
Speaker: Professor Jun Chen
Speaker Info: University of Wisconsin-Madison
Brief Description:
Special Note:
Abstract:
Transonic flows arise from various physical phenomena. In this talk, I will focus on the wedge problem. When a supersonic flow past a wedge, there will be a shock created attaching to the tip of the wedge, given some subsonic condition in the far field. I will talk about the existence and uniqueness of this type of flow for 2-D steady Euler equations. For a small perturbation of constant supersonic incoming flow, we can find a unique subsonic flow downstream, which is a small perturbation from a constant subsonic state, and a transonic shock in between. We use implicit function theorem as the framework and delicate elliptic estimates are crucial in this framework.Date: Tuesday, May 27, 2008