Regularity and decay estimates of dissipative equations.

Series
PDE Seminar
Time
Tuesday, November 8, 2011 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Hantaek Bae – University of Maryland
Organizer
Andrzej Swiech
We establish Gevrey class regularity of solutions to dissipative equations. The main tools are the Kato-Ponce inequality for Gevrey estimates in Sobolev spaces and the Gevrey estimates in Besov spaces using the paraproduct decomposition. As an application, we obtain temporal decay of solutions for a large class of equations including the Navier-Stokes equations, the subcritical quasi-geostrophic equations.