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Seminar by Debanjana Mitra

Monday, August 28, 2017 - 11:30 to 12:30
Conference Room, School of Mathematical Sciences
Debanjana Mitra
Virginia Tech, Blacksburg, USA
Control theory in partial differential equations

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.  

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