Orateur
Takéo Takahashi
(Nancy, France)
Description
We establish a new Carleman inequality for the Oseen system, using weight functions analogous to the corresponding ones for the heat equation.
As a consequence, we obtain the null-controllability of the Oseen system, with a cost of the control of the form $Ce^{C/T}$.
The core of our analysis lies in a careful estimate of the pressure on the boundary. To this end, we decompose the pressure into low- and high-frequency parts.
The low-frequency part is treated using weighted estimates obtained via microlocal analysis, while the high-frequency part is analyzed through some energy estimates for the Stokes system.
This is a joint work with Rémi Buffe (Université de Lorraine).
Author
Takéo Takahashi
(Nancy, France)
