BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Optimal stirring for maximal mixing (NB: Batchelor Lecture) - Char
 lie Doering (University of Michigan)
DTSTART:20170505T150000Z
DTEND:20170505T160000Z
UID:TALK72342@talks.cam.ac.uk
CONTACT:Doris Allen
DESCRIPTION:We study incompressible flows designed to best mix an initiall
 y inhomogeneous distribution of passive tracers as measured by a measured 
 by a 'mix-norm' equivalent to the variance of a low-pass filtered image of
  the tracer concentration field.  Unlike the scalar concentration variance
 \, this is a useful gauge even in the absence of molecular diffusion: the 
 mix-norm quantifies the stirring flow's mixing property in the sense of er
 godic theory. For the case of a periodic spatial domain with prescribed en
 ergy or power constraints on the stirring\, we determine the flows that in
 stantaneously maximize decay of the mix-norm\, i.e.\, the instantaneous op
 timal stirring.  A shell model is devised to probe the finite-time horizon
  optimal control problems for maximal mixing\,  The effect of molecular di
 ffusion on maximal mixing is investigated where\, not unexpectedly\, suita
 ble generalizations of the Bachelor scale appear prominently.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
END:VEVENT
END:VCALENDAR