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SUMMARY:Local regularity theory for Navier-Stokes equations and Liouville 
 type theorems - Gregory Seregin\, University of Oxford
DTSTART:20191107T150000Z
DTEND:20191107T160000Z
UID:TALK126028@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:In this expository talk\, I would like to address a deep conne
 ction between the local regularity theory for the Navier-Stokes equations 
 and existence or non-existence of  non-trivial ancient ( backward) solutio
 ns to the Navier-Stokes system in the whole space.\nIn 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.
LOCATION:MR 14
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