Boundary controllability of some coupled parabolic systems with Kirchhoff conditions
Dr. Kuntal Bhandari, (Universit ́e Paul Sabatier–Toulouse 3, France)
| Speaker |
Dr. Kuntal Bhandari, (Universit ́e Paul Sabatier–Toulouse 3, France)
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|---|---|
| When |
Feb 01, 2021
from 11:00 AM to 12:00 PM |
| Where | zoom meet |
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Abstract: In this talk, we present some boundary controllability results (1-D) of some 2x2 parabolic systems with both the interior and boundary couplings: the interior coupling is chosen to be linear while the boundary one is considered by means of a Kirchhoff-type condition at one end of the domain (0,1). The control is exerted on one of the two state components through the Dirichlet boundary condition at the other end of (0,1). In particular, we show that the controllability properties change depending on which component of the system the control is being applied. Regarding this, we point out that the choices of interior coupling coefficient and the Kirchhoff parameter play a crucial role to deduce the positive or negative controllability results. To this end, we also prescribe controllability/ non-controllability results of some 3x3 coupled systems also with Kirchhoff condition and only one boundary control.