Speaker :
 Prof. Maria Gualdani, George Washington University 
Title :

Factorization of nonsymmetric operators and exponential htheorem 
Time :
 20140731 (Thu) 10:30  11:30 
Place : 
Seminar Room 722, Institute of Mathematics (NTU Campus) 
Abstract: 
We present an abstract method for deriving decay estimates on the resolvents of nonsymmetric operators in Banach spaces in terms of estimates in anotherâ€“typically smallerâ€“ reference Hilbert space. We then apply this approach to several equations of statistical physics, such as the FokkerPlanck equation and the linear and nonlinear Boltzmann equation. The main outcome of the method is the first constructive proof of exponential decay towards global equilibrium for the fully nonlinear Boltzmann equation for hard spheres, conditionally to some smoothness assumptions. This is a joint work with Stephane Mischler and Clement Mouhot. 