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SUMMARY:Localization and fluctuations in non-equilibrium multicomponent co
 agulating systems [Oberseminar Analysis]
DTSTART:20261126T131500Z
DTEND:20261126T151500Z
DTSTAMP:20261110T161400Z
UID:indico-event-1774@math-events.uni-bonn.de
CONTACT:jschroe2@uni-bonn.de
DESCRIPTION:Speakers: Marina Ferreira (CNRS and University of Toulouse)\n\
 nWe consider the multicomponent Smoluchowski coagulation equation under no
 n-equilibrium conditions induced either by a source term or via a constant
  flux constraint. We prove that the corresponding stationary non-equilibri
 um solutions have a universal localization property: they asymptotically l
 ocalize into a direction determined by the source or by a flux constraint.
  As a consequence\, the ratio between monomers of a given type to the tota
 l number of monomers in the cluster becomes ever closer to a predetermined
  ratio as the cluster size is increased. Moreover\, under an extra symmetr
 y assumption on the coagulation kernel\, the fluctuations around the local
 ization direction of the quotient of the multicomponent solution and the o
 ne-component solution converge to a multivariate Gaussian probability dens
 ity function\, which is independent of the coagulation kernel. \n\nhttps:
 //math-events.uni-bonn.de/event/1774/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1774/
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