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SUMMARY:The h-principle for the Euler equations - Camillo De Lellis (Zuric
 h)
DTSTART:20120430T150000Z
DTEND:20120430T160000Z
UID:TALK34906@talks.cam.ac.uk
CONTACT:Jonathan Ben-Artzi
DESCRIPTION:In a joint work with Laszlo Szekelyhidi we construct continuou
 s weak solutions of the 3d incompressible Euler equations\, which dissipat
 e the total kinetic\nenergy. The construction is based on the scheme intro
 duced by J. Nash for producing C1 isometric embeddings\, which was later d
 eveloped by M.Gromov\ninto what became known as convex integration. Weak v
 ersions of convex integration (e.g. based on the Baire category theorem) h
 ave been used previously\nto construct bounded (but highly discontinuous) 
 weak solutions. The current construction is the first instance of Nash's s
 cheme being applied to a PDE which one might classify as "hard" as opposed
  to "soft".
LOCATION:CMS\, MR11
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