BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:On maximally mixed equilibria of two-dimensional perfect fluids
DTSTART:20220603T141500
DTSTAMP:20260406T134413Z
UID:b1a13914b3cddfd601b48ef11f4d405e16691d56c5faffbc0739d7b0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Michele Dolce (Imperial College London)\nAbstract:\nThe mo
 tion of a two-dimensional incompressible and inviscid fluid can be describ
 ed as an area-preserving rearrangement of the initial vorticity that prese
 rves the kinetic energy. In the infinite time limit\, some irreversible mi
 xing can occur and predicting what structures can persist is an issue of f
 undamental importance. Shnirelman introduced the concept of maximally mixe
 d states (any further mixing would necessarily change their energy) and pr
 oved they are perfect fluid equilibria. We offer a new perspective on this
  theory by showing\nthat any minimizer of any strictly convex Casimir\, in
  a set containing Euler's end states\, is maximally mixed. Thus\, (weak) c
 onvergence to equilibrium cannot be excluded solely on the grounds of vort
 icity transport and conservation of kinetic energy. On the other hand\, in
  the straight channel\, we give examples of open sets of initial data whic
 h can be arbitrarily close to any shear flow in L1 of vorticity\nbut do no
 t weakly converge to them in the long time limit. This is joint work with 
 T.D. Drivas.
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR