Thu, April 26, 2018
Public Access


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2:00pm [2:00pm] Debanjana Mitra
Description:
PDE seminar Date and Time: April 26, Thursday, 2-3:30 p.m. Venue: Room 105, Mathematics Department Title: Control of infinite dimensional linear systems Speaker: Debanjana Mitra, Last talk of this seminar series for this semester. Abstract: We discuss on feedback stabilizability of the infinite dimensional system via the solution of Riccati equation. We touch upon some interesting aspects of an optimal control problem. At the end, if possible, we shall discuss on some interesting open problems in this direction.

3:00pm
4:00pm [4:00pm] Dr. Debayan Maity, Affiliation: Postdoc, Institut de Mathématiques de Bordeaux, France
Description:
Date and Time: 26th April, 4-5p.m Venue: Ramanujan hall Title: Mathematical Analysis of a Rigid Body in a Viscous Gas. Speaker: Dr. Debayan Maity, Affiliation: Postdoc, Institut de Mathématiques de Bordeaux, France. Abstract : Fluid-structure interaction problems have been an important area of research in recent years. Such systems occur, for instance, in aerodynamics (flow around an aircraft), medicine (blood flow in vessels), zoology (swimming of aquatic animals). The mathematical study of these problems rises several challenges, the main one being due to the fact that the domain filled by the fluid is one of the unknowns of the problem. In this talk, we present some recent advances in the mathematical analysis of some particulate flows. We show that a variety of such system admits a global in time unique solution for small initial data in the $L^p$ - $L^q$ framework.

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