Description
Speaker: Dr. Debanjana Mitra, (Postdoc, Virginia Tech.)
Title: Control theory in partial differential equations,
Abstract:
I shall discuss on control problems governed by the partial differential
equations-mainly compressible Navier-Stokes equations,
visco-elastic flows. I shall mention some of the basic tools applicable to
study the control problems.
We mainly use spectral characterization of the operator associated to the
linearized PDE and Fourier
series techniques to prove controllability and stabilizability results.
I shall also indicate how the hyperbolic and parabolic nature of equations
affects their main controllability results.
Then some of our recent results obtained in this direction will be
discussed.