UBC DG + MP + PDE Seminar: Tobias Barker
- Date: 11/24/2022
- Time: 14:00
University of British Columbia
Localized Quantitative Blow-up Rates for the Navier-Stokes Equations
The last 10-15 years have seen several works aimed at understanding the behaviour of scale-invariant norms near a potential blow-up time/finite maximal time of existence for a variety of PDE. Most of these results and proofs are qualitative and provide no quantitative information. In a very interesting recent work, Terence Tao provided the first quantitative blow-up rates for globally defined scale-invariant norms of the Navier-Stokes equations. In this talk, I will address what happens quantitatively in the local vicinity of any potential singularity. I will also discuss some other results in this direction and further perspectives.
Part of this talk is joint work with Christophe Prange (CNRS, Cergy Paris Université).