Event Type:

Analysis Seminar

Date/Time:

Monday, October 28, 2019 - 12:00

Location:

STAG111

Local Speaker:

Abstract:

Recently Tarek Elgindi announced a proof of the formation of singularities in finite time for solutions of the incompressible Euler equations in the class of C^{1,alpha} initial data. Symmetries of the Euler equations help determine a simpler model for which exact solutions can be shown to develop singularities in finite time. Perturbation methods show that the solutions of this simpler model can be used to find solutions of the Euler equations. In this lecture I will attempt to give some of the main ideas of the paper, which can be summarize as a festival in singular integrals.