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學術演講

Analysis Seminar

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

2025/05/20 (Tue.) 10:00~13:00
  • 日期 : 2025/05/20 (Tue.) 10:00~13:00
  • 地點 : online
  • 主講人 : Qianfeng Li (University of Erlangen–Nuremberg)
  • 籌辦人 : Tai-Ping Liu (AS)
  • 演講摘要 : 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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