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Gregory Seregin, University of Oxford
Thursday 07 November 2019, 15:00-16:00
Local regularity theory for Navier-Stokes equations and Liouville type theorems
- đ¤ Speaker: Gregory Seregin, University of Oxford
- đ Date & Time: Thursday 07 November 2019, 15:00 - 16:00
- đ Venue: MR 14
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Carola-Bibiane Schoenlieb
Abstract
In this expository talk, I would like to address a deep connection between the local regularity theory for the Navier-Stokes equations and existence or non-existence of non-trivial ancient ( backward) solutions to the Navier-Stokes system in the whole space. In particular, it is explained that the existence of non-trivial so-called mild bounded ancient solutions, for which certain scale-invariant quantities are bounded, is the necessary and sufficient condition for the existence of suitable weak solutions that exhibit Type I blowups.
Series This talk is part of the Applied and Computational Analysis series.
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