**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

**Time**: 11:00 AM (NOTE SPECIAL TIME)

**Room:** 135 TMCB