Colloquium: Tuan Pham (University of Minnesota)

Speaker: Tuan Pham

Title: Minimal blowup data for potential Navier-Stokes singularities in the half space

Abstract: It is known that the mild solutions to the incompressible 3D Navier-Stokes Equations (NSE), either in the whole space or a smooth domain with nonslip boundary condition, exist locally in time. Provided that a blowup solution exists, then it has been shown that a so-called minimal blowup data for NSE in the whole space exists. In this talk, I will explain how the presence of the boundary might influence the existence of minimal blowup data. This is joint work with Vladimir Sverak. Our results are motivated by a theorem of Gregory Seregin on boundary regularity.

Date: Thursday, February 8, 2018
Room: 135 TMCB