BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Minimizing geodesics and harmonic flow on the semi-group of volume
  preserving maps
DTSTART:20150409T171500
DTEND:20150409T181500
DTSTAMP:20260414T132341Z
UID:0f8c9a8cd721182b7aaf27f006509b205ae7821e8d7aeb908f2f8d15
CATEGORIES:Conferences - Seminars
DESCRIPTION:Yann Brenier\nI will review the theory of minimizing geodesics
  on the semi-group of volume preserving maps of the unit cube\, with respe
 ct to the L2 metric\, which exactly corresponds to the equations introduce
 d by Euler in 1755 to describe incompressible fluid motions inside the cub
 e.\nParadoxically\, the "weakness" of the L2 metric simplifies the analysi
 s in the sense that the minimization problem can be convexified\, which wo
 uld be impossible for stronger Sobolev metrics or for finite dimensional a
 nalogous models (involving the group SO(3)\, for instance). In particular 
 one can prove the existence\, uniqueness and partial regularity of the pre
 ssure gradient driving (possibly multiple) minimizing geodesics between tw
 o given points on the semi-group\, without any restriction on these points
 .\nMore recent investigations will be also discussed\, such as the harmoni
 c flow in close connection with Moffatt's magnetic relaxation models.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR