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SUMMARY:Yannick Sire (Johns Hopkins U.)
DTSTART:20210715T140000Z
DTEND:20210715T150000Z
DTSTAMP:20260423T005755Z
UID:RJWAPDE/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RJWAPDE/27/"
 >Blow-up solutions via parabolic gluing</a>\nby Yannick Sire (Johns Hopkin
 s U.) as part of Rio de Janeiro webinar on analysis and partial differenti
 al equations\n\n\nAbstract\nWe will present some recent results on the con
 struction of blow-up solutions for critical parabolic problems of geometri
 c flavor. Initiated in the recent years\, the inner/outer parabolic gluing
  is a very versatile parabolic version of the well-known Lyapunov-Schmidt 
 reduction in elliptic PDE theory. The method allows to prove rigorously so
 me formal matching asymptotics (if any available) for several PDEs arising
  in porous media\, geometric flows\, etc….I will give an overview of the
  strategy and will present several applications to (variations of) the har
 monic map flow\, Yamabe flow and Yang-Mills flow. I will also present some
  open questions.\n
LOCATION:https://researchseminars.org/talk/RJWAPDE/27/
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