PDE Seminar

Title: Transonic flows past wedges governed by full Euler equations
Speaker: Professor Jun Chen
Speaker Info: University of Wisconsin-Madison
Brief Description:
Special Note:

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
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Gui-Qiang Chen
Contact email: gqchen@math.northwestern.edu
Contact Phone: 847-491-5553
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