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Home » Euler/Navier Stokes (Part 2): Non-conservative H^{1/2-} weak solutions of the incompressible 3D Euler equations

Seminar

Euler/Navier Stokes (Part 2): Non-conservative H^{1/2-} weak solutions of the incompressible 3D Euler equations February 18, 2021 (09:30 AM PST - 10:30 AM PST)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Matthew Novack (New York University, Courant Institute)
Description

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

 

 

Video

Non-Conservative H^{1/2-} Weak Solutions Of The Incompressible 3D Euler Equations

Abstract/Media

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

Abstract: In recent joint work with T. Buckmaster, N. Masmoudi, and V. Vicol, we show that for any positive regularity parameter β < 1/2, we can construct non-conservative weak solutions of the 3D incompressible Euler equations which lie in Hβ uniformly in time. In particular, we can construct solutions which have an L 2 -based regularity index strictly larger than 1/3, thus deviating from the H 1/3 -regularity corresponding to the Kolmogorov-Obhukov 5/3 power spectrum in the inertial range. This talk will present the key elements of the proof.

 

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Non-Conservative H^{1/2-} Weak Solutions Of The Incompressible 3D Euler Equations