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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On bounded velocity/bounded vorticity solutions to
the incompressible 2D Euler equations - Nussenzve
ig Lopes\, HJ (Universidade Federal do Rio de Jane
iro (UFRJ))
DTSTART;TZID=Europe/London:20131120T100000
DTEND;TZID=Europe/London:20131120T110000
UID:TALK48921AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/48921
DESCRIPTION:In 1963 V. I. Yudovich proved the existence and un
iqueness of weak solutions of the incompressible 2
D Euler equations in a bounded domain assuming tha
t the vorticity\, which is the curl of velocity\,
is bounded. This result was later extended by A. M
ajda to vorticities which are bounded and integrab
le in the full plane. Further extensions of this r
esult have been obtained\, yet always assuming som
e decay of vorticity at infi \nnity. In a short no
te in 1995\, Philippe Serfati gave an incomplete\,
yet brilliant\, proof of existence and uniqueness
of solutions to the 2D Euler equations in the who
le plane when the initial vorticity and initial ve
locity 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
to flows in a domain exterior to an obstacle. Thi
s is joint work\nwith David Ambrose (Drexel Univer
sity)\, James P. Kelliher (University of Californi
a\, Riverside) and Milton C. Lopes\nFilho (Federal
University of Rio de Janeiro).\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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