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Shock Reflection, von Neumann conjectures, and free boundary problems

Feldman, M (University of Wisconsin-Madison)
Wednesday 16 April 2014, 14:00-15:00

Seminar Room 2, Newton Institute Gatehouse


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 recent results on existence of regular reflection solutions for potential flow equation up to the detachment angle, and discuss some techniques. The approach is to reduce the shock reflection problem to a free boundary problem for a nonlinear equation of mixed elliptic-hyperbolic type. Open problems will also be discussed. The talk is based on the joint work with Gui-Qiang Chen.


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