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SUMMARY:A Kinetic Reaction Model: Decay to Equilibrium and Macroscopic Lim
 it -  Lukas Neumann\, University Innsbruck
DTSTART:20160307T150000Z
DTEND:20160307T160000Z
UID:TALK64166@talks.cam.ac.uk
CONTACT:Amit Einav
DESCRIPTION:We propose a kinetic relaxation-model to describe a generation
 - recombination reaction of two species. Decay to the stationary solution 
 is studied by using hypocoercivity of the linearized equations. Expo- nent
 ial decay of small perturbations can be shown for the full nonlinear probl
 em. We will give a short comparison of recent methods for tack- ling such 
 problems [1\, 2\, 3]. If time allows we will also discuss the macroscopic/
 fast-reaction limit and sketch a rigorous derivation using Entropy decay e
 stimates. The macroscopic limit\, in our case\, is a non- linear diffusion
  equation for the difference of the position densities.\nThis talk is base
 d on joint work with C. Schmeiser (University Vienna).
LOCATION:CMS\, MR13
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