Regularity and decay estimates of dissipative equations.

PDE Seminar
Tuesday, November 8, 2011 - 3:05pm
1 hour (actually 50 minutes)
Skiles 005
University of Maryland
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.