DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Hantaek Bae, University of California, Davis

**Title: ***
Regularity and decay estimates of dissipative equations
*

**Abstract:**
We establish Gevrey regularity of solutions to dissipative
equations. The main tools are Gevrey estimates in Sobolev spaces (using
Kato-Ponce estimates in Gevrey space) and in Besov spaces (using the
Littlewood-Paley decomposition). As an application, we obtain temporal
decay rate of solutions for a large class of equations, especially the
Navier-Stokes equations. This is join work with Professor Eitan Tadmor
and Animikh Biswas.

**Time:** Friday, March 29, 2013, 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