Existence and stability of global solutions to shock<br/><br/>reflection problem

Monday, July 20, 2009 - 11:00am - 11:50am
EE/CS 3-180
Mikhail Feldman (University of Wisconsin, Madison)
In this talk we will start with discussion of shock reflection
phenomena. Then we describe recent results on existence and stability of global solutions to regular shock reflection for potential flow
for all wedge angles up to the sonic angle, and discuss the techniques.
The approach is to reduce the shock reflection problem to a free
boundary problem for a nonlinear elliptic equation, with ellipticity
degenerate near a part of the boundary (the sonic arc). We will discuss
techniques to handle such free boundary problems and degenerate elliptic
equations. This is a joint work with Gui-Qiang Chen.
MSC Code: