Plenary Lecture 13: Shock Reflection, von Neumann conjectures, and free boundary problems
52 mins 54 secs,
770.12 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.94 Mbits/sec
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Description: |
Feldman, M (University of Wisconsin-Madison)
Friday 27 June 2014, 13:30-14:15 |
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Created: | 2014-07-11 15:18 |
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Collection: | Free Boundary Problems and Related Topics |
Publisher: | Isaac Newton Institute |
Copyright: | Feldman, M |
Language: | eng (English) |
Abstract: | Co-author: Gui-Qiang Chen (Oxford)
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. |
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