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SUMMARY:Then initial value problem for the Euler equations of fluids viewe
 d as a convex optimisation problem - Yann Brenier\, CNRS &amp\; Ecole Norm
 ale Supérieure\, Paris
DTSTART:20180521T140000Z
DTEND:20180521T150000Z
UID:TALK103660@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION:We consider the initial value problem for the Euler equations 
 of inviscid fluids and\, more generally\, for "conservation laws with conv
 ex entropy". It is shown that any smooth solution to the initial value pro
 blem\, at least for short time\, can be recovered by solving a suitable co
 nvex optimisation problem.\nThis problem\, which can be solved for arbitra
 rily long time intervals\, makes bridges between the three theories of opt
 imal transport\, mean field game and convex integration.\nIn the elementar
 y case of the "inviscid" Burgers equation\, it is shown that every entropy
  solution\, including shocks\,\ncan be recovered without any restriction o
 n the time interval.\n
LOCATION:CMS\, MR13
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