École Normale Superieure (DMA) | Mathematical Institute

The relationship between failure of a Liouville type theorem and Type I singularities of the Navier-Stokes equations

Tobias Barker

(École Normale Superieure (DMA))

Abstract

In this talk, we demonstrate that formation of Type I singularities of suitable weak solutions of the Navier-Stokes equations occur if there exists non-zero mild bounded ancient solutions satisfying a 'Type I' decay condition. We will also discuss some new Liouville type Theorems. Joint work with Dallas Albritton (University of Minnesota).