Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | 胡京辰 博士，上海科技大学
| | Inviter: | | Title:
| Shock Reflection Problems by a Non-symmetric Convex Wedge with Potential Flow Equations | Time & Venue:
| 2021.05.14 14:40-15:40 南楼N204室 | Abstract:
| 腾讯会议：717 864 120
In this talk, we will present some results on the problem of shock reflection-diffraction by a wedge, with the potential flow equation, which is a simplification of the Euler System.In the work of M. Feldman and G. Chen, the existence theory of shock reflection problems with the potential flow equation was established, when the wedge is symmetric w.r.t. the direction of the upstream flow. As a natural extension, we study non-symmetric cases, i.e. when the direction of the upstream flow forms a nonzero angle with the symmetry axis of the wedge. We proved that in non-symmetric cases, the ideal Lipschitz solution to the potential flow equation, does not exist. This suggests that the potential flow solutions to the non-symmetric shock reflection problem, should have some singularity which is not encountered in the symmetric case.
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