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SUMMARY:On bounded velocity/bounded vorticity solutions to the incompressi
 ble 2D Euler equations - Nussenzveig Lopes\, HJ (Universidade Federal do R
 io de Janeiro (UFRJ))
DTSTART:20131120T100000Z
DTEND:20131120T110000Z
UID:TALK48921@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In 1963 V. I. Yudovich proved the existence and uniqueness of 
 weak solutions of the incompressible 2D Euler equations in a bounded domai
 n assuming that the vorticity\, which is the curl of velocity\, is bounded
 . This result was later extended by A. Majda to vorticities which are boun
 ded and integrable in the full plane. Further extensions of this result ha
 ve been obtained\, yet always assuming some decay of vorticity at infi \nn
 ity. In a short note in 1995\, Philippe Serfati gave an incomplete\, yet b
 rilliant\, proof of existence and uniqueness of solutions to the 2D Euler 
 equations in the whole plane when the initial vorticity and initial veloci
 ty are bounded\, without the need for decay at in \nfinity. In this talk I
  will report on\nwork aimed at completing and extending Serfati's result t
 o flows in a domain exterior to an obstacle. This is joint work\nwith Davi
 d Ambrose (Drexel University)\, James P. Kelliher (University of Californi
 a\, Riverside) and Milton C. Lopes\nFilho (Federal University of Rio de Ja
 neiro).\n
LOCATION:Seminar Room 1\, Newton Institute
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