Regularity and stability of solutions to shock reflection problem
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Thu, 24/05/2012 12:30 |
Mikhail Feldman (University of Wisconsin) |
OxPDE Lunchtime Seminar  |
Gibson 1st Floor SR |
| We discuss shock reflection problem for compressible gas dynamics, and von Neumann conjectures on transition between regular and Mach reflections. Then we will talk about some recent results on existence, regularity and geometric properties of regular reflection solutions for potential flow equation. In particular, we discuss optimal regularity of solutions near sonic curve, and stability of the normal reflection soluiton. Open problems will also be discussed. The talk will be based on the joint work with Gui-Qiang Chen, and with Myoungjean Bae. | |||