Analyticity results for the Navier-Stokes Equations

Analysis Seminar
Topic:Analyticity results for the Navier-Stokes Equations
Speaker:Guher Camliyurt
Affiliation:Member, School of Mathematics
Date:Thursday, January 31
Time/Room:1:00pm - 2:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/analysis/2019/0131-GuherCamliyurt

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.