DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Maria Gualdani, George Washington University

**Title: ***
Factorization of non-symmetric operators and exponential h-theorem
*

**Abstract:**
We present an abstract method for deriving decay estimates on the resolvents
of non-symmetric operators in Banach spaces in terms of estimates in another
– typically smaller – reference Hilbert space. We then apply this approach to
several equations of statistical physics, such as the Fokker-Planck equation
and the linear and non-linear 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.

**Time:** Friday, November 16, 2012, 1:30-2:30 p.m.

**Place:** Planetary Hall (formerly S & T I), Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491