Seminar series
Date
Mon, 07 Jun 2010
Time
17:00 -
18:00
Location
Gibson 1st Floor SR
Speaker
Mikhail Feldman
Organisation
University of Wisconsin at Madison
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