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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.