Shock Reflection and Free Boundary Problems
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Mon, 07/06/2010 17:00 |
Mikhail Feldman (University of Wisconsin at Madison) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
| In this talk we describe some recent work on shock reflection problems for the potential flow equation. We will start with discussion of shock reflection phenomena. Then we will describe the results on existence, structure and regularity of global solutions to regular shock reflection. 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 talk is based on joint works with Gui-Qiang Chen, and with Myoungjean Ba | |||