There is a PDE seminar talk by Anamika Purohit from IIT Gandhinagar.
Please find the details below.
Venue: Ramanujan Hall, 17th April, 3:00 pm.
Title: An inverse problem for a time-dependent convection-diffusion equation
Abstract: In this talk, we study partial and local data inverse problems
for the time-dependent convection-diffusion equation in a bounded domain.
For the partial data problem, we show that the time-dependent convection
and the density terms can be uniquely recovered up to the natural gauge
from the knowledge of the Dirichlet to Neumann map measured on a small
open subset of the boundary.
In the local data inverse problem, where a part of the boundary is treated
to be inaccessible, upon assuming the inaccessible part is flat, we seek
the unique determination of the time-dependent convection and the density
terms from the knowledge of the boundary data measured outside the
inaccessible part. In the process, we show a natural gauge in the
perturbations, proving that this is the only obstruction in the uniqueness