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SUMMARY:Luigi Forcella (Heriot-Watt University)
DTSTART:20201204T150000Z
DTEND:20201204T160000Z
DTSTAMP:20260423T003245Z
UID:VMAS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VMAS/9/">Dyn
 amical collapse for cylindrical symmetric dipolar BEC</a>\nby Luigi Forcel
 la (Heriot-Watt University) as part of Virtual Maxwell Analysis Seminar\n\
 n\nAbstract\nIn this talk\, we consider a Gross-Pitaevskii equation descri
 bing a dipolar Bose-Einstein condensate. We will show that solutions arisi
 ng from initial data with energy below the energy of the Ground State\, an
 d that do not scatter\, blow-up in finite time. The proof is based on loca
 lization properties for the fourth power of the Riesz transforms\, that we
  prove by means of some decay estimates of the heat kernel associated to t
 he parabolic biharmonic equation\, and pointwise estimates for the square 
 of the Riesz transforms.\n
LOCATION:https://researchseminars.org/talk/VMAS/9/
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