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SUMMARY:Linear and nonlinear fractional PDEs from interacting particle sys
 tems [Oberseminar Stochastics]
DTSTART:20241205T153000Z
DTEND:20241205T163000Z
DTSTAMP:20260913T025600Z
UID:indico-event-100@math-events.uni-bonn.de
DESCRIPTION:Speakers: Pedro Cardoso (University of Bonn)\n\nIn this talk\,
  we describe the strategy for the derivation of the hydrodynamic limit for
  a family of long-range interacting particle systems of exclusion type wit
 h symmetric rates. The corresponding hydrodynamic equation is      
                          $$\\partial_t \\rho = [
 −(−\\Delta)^{\\gamma/2}]\\rho^m$$for some fixed $m \\in \\mathcal{N}$\
 , where $\\rho$ is the density of particles in the system. For $ m = 1$\, 
 this is the fractional heat equation. For $m \\geq 2$\, this is the fracti
 onal porous medium equation\, obtained by choosing a rate that depends on 
 the number of particles next to the initial and final position of a jump.\
 n\nhttps://math-events.uni-bonn.de/event/100/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/100/
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