Description
Department Colloquium.
Speaker: Harsha Hutridurga.
Time: 4pm, Wednesday, October 17, 2018.
Venue: Ramanujan Hall.
Title: An overview of the theory of Hypocoercivity.
Abstract: In this talk, we attempt to give a brief introduction to the
theory of Hypocoercivity which has become an indispensable tool in the
study of relaxation to equilibrium states for mathematical models arising
in statistical physics. The essential ideas behind this theory will be
motivated via simple examples. The role of certain functional inequalities
while deriving explicit rates of convergence will be made precise during
this talk. This talk concludes by addressing a certain degenerate kinetic
Fokker-Planck equation. Incidentally, the study of the trend to
equilibrium for this degenerate model finds link to the acclaimed
Geometric Condition from the theory of control for wave propagation.