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Regularity and decay estimates of dissipative equations
PDE and Applied Math Seminar| Speaker: | Hantaek Bae, UC Davis |
| Location: | 1147 MSB |
| Start time: | Tue, Jan 29 2013, 3:10PM |
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.