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DTSTART:19700329T010000
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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:Rate of Convergence to Equilibrium for a Model des
 cribing Fibre Lay-down Processes on a Moving Conve
 yor Belt - Franca Hoffmann (CCA - Imperial College
 )
DTSTART;TZID=Europe/London:20150304T160000
DTEND;TZID=Europe/London:20150304T170000
UID:TALK57704AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/57704
DESCRIPTION:We study the hypocoercivity properties of a kineti
 c Fokker-Planck equation modelling the fibre lay-d
 own process in the production of non-woven textile
 s. Under suitable assumptions on the potential des
 cribing the coiling properties of the fibres\, we 
 establish existence and uniqueness of a global Gib
 bs state and determine the rate of convergence of 
 solutions in a suitably weighted L^2 space using o
 nly hypocoercivity techniques. The method is based
  on a micro / macro decomposition which is well ad
 apted to the diffusion limit regime. Our result is
  an extension of the method used by Dolbeault et a
 l. who assumed a stationary conveyor belt. For tec
 hnical applications in the production process of n
 on-wovens however\, one  is interested in a model 
 including the movement of the conveyor belt\, in w
 hich case the global Gibbs state is not known expl
 icitly. This can be addressed by proving a stronge
 r hypocoercivity estimate for solutions of the kin
 etic Fokker-Planck equation. This is a joint work 
 with Clément Mouhot and Emeric Bouin.
LOCATION:MR14\, Centre for Mathematical Sciences
CONTACT:Davide Piazzoli
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