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:2429@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180703T110000
DTEND;TZID=Europe/Paris:20180703T120000
DTSTAMP:20180618T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/propagation-of-chaos-for-some-2
 -dimensional-fractional-keller-segel-equation-in-dominated-diffusion-and-f
 air-competition-cases/
SUMMARY: (...): Propagation of chaos for some 2 dimensional fractional Kell
 er Segel equation in dominated diffusion and fair competition cases
DESCRIPTION:: In this work we deal with the local in time propagation of ch
 aos without cut-off for some two dimensional fractional Keller Segel model
 s. More precisely the diffusion considered here is given by the fractional
  Laplacian operator −(−∆) ^(a/2) with a ∈ (1\, 2) and the singular
 ity of the interaction is of order |x|^(1−α) with α ∈]1\, a]. In the
  case α ∈ (1\, a) we prove a complete propagation of chaos result\, pro
 ving the Γ-l.s.c property of the fractional Fisher information\, already 
 known for the classical Fisher information\, using a result of [4]. In the
  fair competition case ([1]) a = α\, we only prove a convergence/consiste
 ncy result in a sub-critical mass regime\, similarly as the result obtaine
 d for the classical Keller-Segel equation in [2].References[1] J. Carrillo
 \, V. Calvez\, F. Hoffmann. Equilibria of homogeneous functionals in the f
 air-competition regime Nonlinear Analysis\, (2016).[2] N. Fournier\, B. Jo
 urdain. Stochastic particle approximation of the Keller-Segel equation and
  two-dimensional generalization of Bessel processes. Accepted at Ann. Appl
 . Probab.[3] N. Fournier\, M. Hauray\, S. Mischler. Propagation of chaos f
 or the 2D viscous vortex model. J. Eur. Math. Soc.\, Vol. 16\, No 7\, 1423
 -1466\, 2014.[4] M. Hauray\, S. Mischler. On Kac’s chaos and related pro
 blems\, J. Funct. Anal.\, Volume 266\, P. 60556157\,(2014).http://sites.go
 ogle.com/site/samirsalemmath
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:DAYLIGHT
DTSTART:20180325T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR