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SUMMARY:Mohameden Ahmedou (Universitty of Giessen)
DTSTART:20220308T170000Z
DTEND:20220308T180000Z
DTSTAMP:20260423T035033Z
UID:OSGA/99
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/99/">Ne
 w Blow up phenomena for the Nirenberg's problem on half spheres</a>\nby Mo
 hameden Ahmedou (Universitty of Giessen) as part of Online Seminar "Geomet
 ric Analysis"\n\n\nAbstract\nIn this talk I will report on   a refined blo
 w up analysis of  finite energy approximated solutions to the Nirenberg's 
 problem on half spheres. The later   consists of prescribing under minimal
  boundary conditions the scalar curvature to be a given function. In parti
 cular we give a precise location of blow up points and blow up rates. Such
  an analysis shows that the blow up picture of the Nirenberg's problem on 
 half spheres is far more complicated that in the case of closed spheres. I
 ndeed besides the combination of interior and boundary blow ups\, there ar
 e "non simples blow ups"  for subcritical solutions having zero or  nonzer
 o weak limit. The formation  of such  non simple blow ups is governed by a
  vortex problem\, unveiling an  unexpected connection with  Euler equation
 s in fluid dynamic and mean fields type equations in mathematical physics.
 \nThis is joint work with Mohamed Ben Ayed (Sfax University).\n
LOCATION:https://researchseminars.org/talk/OSGA/99/
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