Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Professor Hoai Minh Nguyen, Sorbonne Universit
Inviter:	Nguyen Quoc Hung
Title:	Wave-structure interactions in shallow water
Language:	English
Time & Venue:	2024.01.22 16:00-17:00 Zoom ID: 924 888 5804 Passcode: AMSS2022
Abstract:	In this talk, I report recent progress on the local boundary controllability of the KdV equation in a bounded interval. The focus is on Dirichlet boundary controls on the left, or Dirichlet or Neumann boundary controls on the right. The phenomena depends strongly on the location of the controls. For left controls, the system is always locally controllable in small time. For right controls, the phenomena depends on the length of the interval, which is critical or not. In the non-critical case, the system is locally controllable in small time. In the critical case, the phenomena are complex. It can happen that either the system is locally controllable in small time, or not locally controllable in small time but locally controllable in finite time, or even not locally controllable in any positive time.