BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:3023@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190702T110000
DTEND;TZID=Europe/Paris:20190702T120000
DTSTAMP:20190617T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/sedimentation-of-particles-in-s
 tokes-flow/
SUMMARY: (...): Sedimentation of particles in Stokes flow
DESCRIPTION:: We consider the sedimentation of N identical spherical partic
 les in a uniform gravitational field. Particle rotation is included in the
  model while fluid and particle inertia is neglected.In the dilute case\, 
 the result in [5] shows that the particles do not get closer in finite tim
 e. The rigorous convergence of the dynamics to the solution of a Vlasov-St
 okes equation is proven in [4] in a certain averaged sense. The result hol
 ds true in the case of particles that are not so dilute as in [5] and for 
 which the interactions between particles are still important.In this paper
 \, using the method of reflections\, we extend the investigation of [4] by
  dis- cussing the optimal particle distance which is conserved in finite t
 ime. The set of particle configurations considered herein is the one intro
 duced in [3] for the analysis of the homogenization of the Stokes equation
 . We also prove that the particles interact with a singular interaction fo
 rce given by the Oseen tensor and justify the mean field approximation of 
 Vlasov-Stokes equations in the spirit of [1] and [2].[1] M. Hauray. Wasser
 stein distances for vortices approximation of Euler-type equations. Math. 
 Models Methods Appl. Sci. 19\, [1357\,1384]\,2009.[2] M. Hauray and P. E. 
 Jabin. Particle approximation of Vlasov equations with singular forces: pr
 opa- gation of chaos. Ann. Sci. E ́c. Norm. Sup ́er. (4)\, 48(4):[891-94
 0]\, 2015.[3] M. Hillairet. On the homogenization of the Stokes problem in
  a perforated domain. Arch Rational Mech Anal\, 230\, (2018)\, 1179–1228
 .[4] R. M. H ̈ofer Sedimentation of Inertialess Particles in Stokes Flows
 . Commun. Math. Phys. 360\, (2018)\, 55–101.[5] P. E Jabin and F. Otto I
 dentification of the dilute regime in particle sedimentation. Communicatio
 ns in Mathematical Physics. 2004.http://www.theses.fr/s174812
CATEGORIES:Séminaire,Analyse Appliquée
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:DAYLIGHT
DTSTART:20190331T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR