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SUMMARY:Well Posedness and Singularities of Water Waves - Wu\, S (Universi
 ty of Michigan)
DTSTART:20140807T090000Z
DTEND:20140807T113000Z
UID:TALK53670@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:A class of water wave problems concerns the dynamics of the fr
 ee interface separating an inviscid\, incompressible and irrotational flui
 d (water)\, under the influence of gravity\, from a zero-density region (a
 ir). In these lectures I will present some recent methods and ideas develo
 ped concerning the local and global wellposedness of these problems\, wher
 e the fluid region has either no fixed boundary\, or has a fixed vertical 
 wall. The emphasis will be on the understanding of the mathematical struct
 ure that leads to the results on global existence of small and smooth wave
 s\, local existence of arbitrary smooth waves\, the persistence of water w
 aves with angled crests\, and in the case where there is a vertical wall\,
  the interaction of the free interface with the wall. These lectures will 
 be accessible to graduate students and post-doctors. \n
LOCATION:CMS\, RM9
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