University of Cambridge > Talks.cam > Applied and Computational Analysis > Local regularity theory for Navier-Stokes equations and Liouville type theorems

Local regularity theory for Navier-Stokes equations and Liouville type theorems

Add to your list(s) Download to your calendar using vCal

  • UserGregory Seregin, University of Oxford
  • ClockThursday 07 November 2019, 15:00-16:00
  • HouseMR 14.

If you have a question about this talk, please contact Carola-Bibiane Schoenlieb.

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.

This talk is part of the Applied and Computational Analysis series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity