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Home » Euler/Navier Stokes (Part 2): Geometric constraints on the blowup of solutions of the Navier-Stokes equation

Seminar

Euler/Navier Stokes (Part 2): Geometric constraints on the blowup of solutions of the Navier-Stokes equation February 25, 2021 (09:30 AM PST - 10:30 AM PST)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Evan Miller (McMaster University)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

 

 

Video
Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract: In this talk, I will discuss several regularity criteria that provide geometric constraints on the possible finite-time blowup of solutions of the Navier-Stokes equation. This approach, based on the strain formulation of the Navier-Stokes regularity problem, not only gives geometric criteria for blowup in terms of the eigenvalues of the strain matrix, but also improves previous geometric regularity criteria involving the vorticity. Finally, I will discuss finite-time blowup for a model equation for the self-amplification of strain that respects these geometric constraints.

 

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Geometric Constraints on the Blowup of Solutions of the Navier-Stokes Equation