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SUMMARY:Finite time singularities for the free boundary incompressible Eul
 er equations - Crdoba\, D (Instituto de Ciencias Matemticas\; Madrid)
DTSTART:20120726T154500Z
DTEND:20120726T163000Z
UID:TALK39071@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We prove the existence of smooth initial data for the 2D free 
 boundary incompressible Euler equations (also known for some particular sc
 enarios as the water wave problem)\, for which the smoothness of the inter
 face breaks down in finite time into a splash singularity or a splat singu
 larity. Moreover\, we show a stability result together with numerical evid
 ence that there exist solutions of the 2D water wave equation that start f
 rom a graph\, turn over and collapse in a splash singularity (self interse
 cting curve in one point) in finite time. Joint work with A. Castro\, C. F
 efferman\, F. Gancedo and J. Gomez-Serrano. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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