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Seminars

Interaction of Viscous Shock Waves with a Boundary

2026/10/27 (Tue.) 10:00~13:00
  • Date : 2026/10/27 (Tue.) 10:00~13:00
  • Location : Conference Room, Institute of Mathematics (NTU Campus)
  • Speaker : Masaki Imagawa (Institute of Mathematics, Academia Sinica)
  • Organizer : Tai-Ping Liu (AS)
  • Abstract : In this talk, we study the viscous Burgers' equation on the half-line as a prototype for nonlinear interactions between a shock wave and a boundary. We consider small, exponentially localized perturbations of a shock initially located far from the boundary and traveling toward it. We show that the solution remains close to a traveling shock profile while the shock remains well separated from the boundary. As the shock approaches the boundary, the solution changes shape and eventually converges to a stationary boundary layer. This is joint work with Shih-Hsien Yu.

Click here to register: https://forms.gle/aYBBzmUwbEWkmBMW6  (Deadline: 4pm, Oct. 26)
本所保留開放連線之權限，報名並非確定可加入視訊討論。Registration does not guarantee participation.
請注意截止時間，逾時不受理報名。Please note the deadline; no applications will be accepted after the deadline.

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