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SUMMARY:On two models for non-instantaneous binary alignment collisions - 
 Christian Schmeiser (Universität Wien)
DTSTART:20220426T101500Z
DTEND:20220426T111500Z
UID:TALK171839@talks.cam.ac.uk
DESCRIPTION:It is a standard assumption in kinetic transport theory that c
 ollision processes are instantaneous. We shall report on the initiation of
  a research program\, where this idealization is lifted. The idea for mode
 ling binary\, non-instantaneous collisions is to replace instantaneous jum
 ps in the state space of a pair of particles by continuous processes takin
 g finite time. The duration of the collision process can be deterministic 
 or stochastic. This results in a system of equations for the particle dist
 ribution between collisions and for the distribution of particle pairs dur
 ing collision processes. Results will be presented on two spatially homoge
 neous models for non-instantaneous alignment collisions\, where in one cas
 e the collision time is governed by a simple Poisson process\, whereas in 
 the other case collisions end after reaching complete alignment in finite 
 time. For both models existence\, long-time behavior\, and the instantaneo
 us limit towards a standard kinetic model will be discussed.(joint work wi
 th Laura Kanzler and Veronica Tora)
LOCATION:Seminar Room 1\, Newton Institute
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