中央研究院數學研究所

Analysis Seminar

Inversely determining the boundaries from observed shock fronts in compressible Euler equations

2025/05/20 (Tue.) 10:00~13:00

Date : 2025/05/20 (Tue.) 10:00~13:00
Location : online
Speaker : Qianfeng Li (University of Erlangen–Nuremberg)
Organizer : Tai-Ping Liu (AS)
Abstract : When supersonic flows past wedges and conical obstacles, or the piston expanding into the static gas, there exists a leading shock in the gas. In the talk, we aim to design the position of obstacles or the trajectory of pistons with the prescribed leading shock and the incoming flow or initial states. By the method of characteristics and asymptotic analysis, under suitable assumptions on the given shock and the given incoming flows or initial states, we globally determine the smooth boundaries and the piece-wise smooth flow field. Moreover, the obtained flow fields admit large velocity variations.

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