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On Stability of Steady Transonic Shocks in Supersonic Flow around a Wedge

Fang, B (Shanghai Jiao Tong University)
Tuesday 24 June 2014, 12:00-12:30

Seminar Room 2, Newton Institute Gatehouse


In this talk we are concerned with the stability of steady transonic shocks in supersonic flow around a wedge. When a uniform supersonic flow comes against a straight wedge with small vertex angle, a shock-front attached to the wedge appears. It is indicated in the book "Supersonic Flow and Shock Waves" by Courant and Friedrichs that there are two admissible shock solutions satisfying both Rankine-Hugoniot conditions and the entropy condition. The weaker shock solution may be transonic, while the stronger one must be transonic. In this talk, we shall present stability results for 2-D and M-D flows.

This talk is based on the joint works with Prof. G.-Q. Chen, and Prof. S.X. Chen.


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