|Topic:||Analyticity results for the Navier-Stokes Equations|
|Affiliation:||Member, School of Mathematics|
|Date:||Thursday, January 31|
|Time/Room:||1:00pm - 2:00pm/Simonyi Hall 101|
We consider the Navier–Stokes equations posed on the half space, with Dirichlet boundary conditions. We give a direct energy based proof for the instantaneous space-time analyticity and Gevrey class regularity of the solutions, uniformly up to the boundary of the half space. We then discuss the adaptation of the same method for bounded domains.