Analyticity results for the Navier-Stokes Equations

Guher Camliyurt

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.

https://www.ias.edu/video/analysis/2019/0131-GuherCamliyurt