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University of Birmingham > Talks@bham > Analysis seminar > Propagation of chaos and return to equilibrium for Kac's random walks
Propagation of chaos and return to equilibrium for Kac's random walksAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Neal Bez. Kac proposed in 1956 to study the derivation of the (spatially homogeneous) Boltzmann equation from a many-particle jump processes with random binary collisions (“Kac’s walk”). This limit is closely connected to the notion of propagation of chaos, i.e. product-like structure of the many-particle distribution in the many-particle limit. Several questions were raised: propagation of chaos for the unbounded collision rates encountered in physics, estimations of rates of relaxation uniform in the many-particle limit, propagation of entropic chaos and derivation of the H-theorem. We shall present answers to these questions, obtained in a joint work with Stephane Mischler. They are based on a new quantitative stability approach for many-particle limits, that allows to take advantage of dissipativity of the level of the limit PDE . If time allows we shall discuss connexions with the BBGKY hierarchy, and how this method applies to other many-particle limits. This talk is part of the Analysis seminar series. This talk is included in these lists:Note that ex-directory lists are not shown. |
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