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UID:69dbc4cf385c5
DTSTAMP:20260412T121407
DTSTART:20170327T090000
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DTEND:20170327T090000
URL:https://murmitoyen.com/events/vanille/udem/detail/740501-the-onsagers-t
 heorem
LOCATION:Université de Montréal - Pavillon André-Aisenstadt\, 2920\, che
 min de la Tour\, Montréal\, QC\, Canada\, H3T 1N8
SUMMARY:The Onsager's Theorem
DESCRIPTION:Cette conférence s'adresse à un large auditoire. This lecture
  is aimed at a general mathematical audience.
\n 
\nIn 1949\, the famous 
 physicist Lars Onsager made a quite striking statement about solutions of 
 the incompressible Euler equations: if they are Hölder continuous for an 
 exponent larger than 1/3\, then they preserve the kinetic energy\, whereas
 \, for exponents smaller than 1/3\, there are solutions which do not prese
 rve the energy. The first part of the statement has been rigorously proved
  by Constantin\, E and Titi in the nineties. In a series of works\, Lászl
 ó Székelyhidi and myself have introduced ideas from differential geometr
 y and differential inclusions to construct nonconservative solutions and s
 tarted a program to attack the other portion of the conjecture. After a se
 ries of partial results\, due to a few authors\, Phil Isett has recently f
 ully resolved the problem. In this talk\, I will try to describe as many i
 deas as possible and will therefore touch upon the works of several mathem
 aticians\, including László Székelyhidi\, Phil Isett\, Tristan Buckmast
 er\, Sergio Conti\, Sara Daneri and myself.
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