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SUMMARY:A Markov Process associated to the noncutoff Boltzmann Equation - 
 Daniel Heydecker (Cambridge)
DTSTART:20201013T130000Z
DTEND:20201013T140000Z
UID:TALK152617@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We consider the stochastic model of an $N$-particle gas due to
  Kac\, introduced as a proxy to the Boltzmann equation\, in the case where
  the intermolecular forces are long-range `hard potentials’. In this cas
 e\, there is an abundance of grazing collisions: the Markov process is a j
 ump process of constant activity. We introduce a coupling of the $N$-parti
 cle Kac processes\, and show how this leads to uniqueness and stability fo
 r the Boltzmann equation and a law of large numbers. 
LOCATION:Zoom
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