Applied and computational Analysis Seminars
Local regularity theory for Navier-Stokes equations and Liouville type theorems
With Gregory Seregin, University of Oxford
Local regularity theory for Navier-Stokes equations and Liouville type theorems
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.
- Speaker: Gregory Seregin, University of Oxford
- Thursday 07 November 2019, 15:00–16:00
- Venue: MR 14.
- Series: Applied and Computational Analysis; organiser: Carola-Bibiane Schoenlieb.