Wed, August 16, 2017
Public Access

Category: All

August 2017
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4:00pm [4:00pm] Dr. Debanjana Mitra, (Postdoc, Virginia Tech.)
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.

5:00pm [5:00pm] Math Colloquium
Title: Heaps and applications Speaker: K N Raghavan Affiliation: The Institute of Mathematical Sciences (IMSc) Abstract: This talk is based on the recently concluded 19-lecture course by Xavier Viennot at IMSc, and is meant as publicity for the videos (freely and perpetually accessible) of those lectures on the Matscience Youtube channel. The lectures are jam-packed with new and elegant proofs of well known results, myriad applications--- from graph theory to Lie algebras and their representations to statistical physics and even quantum gravity---and open problems of varying difficulty. We will take a tour through the basic definition, the main technical results, and some applications.