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.