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SUMMARY:Non-univalent solutions of the Polubarinova-Galin equation - Gusta
 fsson\, B (KTH - Royal Institute of Technology)
DTSTART:20140409T130000Z
DTEND:20140409T140000Z
UID:TALK51849@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The Polubarinova-Galin equation describes the time evolution o
 f the conformal map onto a Hele-Shaw blob of fluid\, which expands by inje
 ction of fluid at one point. As the evolution goes on different parts of t
 he fluid region may collide with each other. This can be handled by turnin
 g to a weak formulation of the problem\, but in the talk I will discuss an
 other way\, namely by keeping the fluid region simply connected by letting
  it go up onto a Riemann surface. In this way one can let the solution go 
 on forever as a simply connected solution\, but the construction of the Ri
 emann surface is by no means trivial\, because it cannot constructed in ad
 vance. It has to be updated all the time\, as new collisions occurs\nin th
 e fluid region. \n \nThe talk describes work in progress\, in collaboratio
 n with Yu-Lin Lin (KTH).\n\n
LOCATION:Seminar Room 1\, Newton Institute
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