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SUMMARY:Plenary Lecture 10: Absence of the interface splash singularity fo
 r the two-fluid Euler equations - Shkoller\, S (University of Oxford)
DTSTART:20140627T080000Z
DTEND:20140627T084500Z
UID:TALK53198@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:An interface splash singularity occurs when a locally smooth f
 luid interface self-intersects. Such interface singularities occur for one
 -fluid interfaces in the Euler equations and other fluids models.\n\nBy me
 ans of elementary arguments in Lagrangian coordinates\, we prove that such
  a singularity cannot occur in finite-time for a two-fluid interface evolv
 ed by either the incompressible Euler equations (with surface tension) or 
 the Muskat equations. By assuming that such a singularity can occur\, we f
 ind a sharp blow-up rate for the vorticity\, and characterize the geometry
  of the evolving interface. This leads to a contradiction\, showing that s
 uch a singularity can occur. This is joint work with D. Coutand.\n
LOCATION:Seminar Room 1\, Newton Institute
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