Applied Mathematics SeminarDepartment of Mathematics, Monroe Hall, 2115 G Street NW, Washington, DC 20052.
See the Foggy Bottom campus map.
Contact Xiaofeng Ren (ren at gwu dot edu) if you need more information about the seminar.
Title: Regularity and decay estimates of dissipative equations
Abstract: 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.