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UID:news1253@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20211122T174531
DTSTART;TZID=Europe/Zurich:20211201T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Elia Bruè (Institute fo
r Advanced Study\, Princeton)
DESCRIPTION:A long-standing open question in fluid mechanics is whether the
Yudovich uniqueness result for the 2d Euler system can be extended to the
class of L^p-integrable vorticity. Recently\, there have been formidable
attempts to disprove this conjecture\, none of which has by now fully solv
ed it. I will outline two possible approaches to this problem. One is bas
ed on the convex integration technique introduced by De Lellis and Szekely
hidi. The second\, proposed recently by Vishik\, exploits the linear insta
bility of certain stationary solutions.
X-ALT-DESC:A long-standing open question in fluid mechanics is whether t
he Yudovich uniqueness result for the 2d Euler system can be extended to t
he class of L^p-integrable vorticity. Recently\, there have been formidabl
e attempts to disprove this conjecture\, none of which has by now fully so
lved it. \;I will outline two possible approaches to this problem. One
is based on the convex integration technique introduced by De Lellis and
Szekelyhidi. The second\, proposed recently by Vishik\, exploits the linea
r instability of certain stationary \;solutions.

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