Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Non-Conservative H^{1/2-} Weak Solutions Of The Incompressible 3D Euler Equations
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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