Seminar talks

Special year in dynamical systems, Laboratoire CNRS J.-V. Poncelet
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February 22, 2012, 18h30, MSU, mech-math, room 13-20.

Isabelle Gallagher Some results on the convergence from Newtonian to Boltzmann dynamics.

Abstract: The Boltzmann equation is known to derive from the Newtonian equations of a large system of particles, obeying elastic collisions or submitted to a repulsive short-range potential, in the limit when the number of particles goes to infinity under a rarefaction assumption. In this talk we shall give the main steps of the rigorous derivation of this equation; unfortunately to this day this derivation is only known for a very short time (roughly a fraction of the time after which each particle has undergone O(1) collisions) and the question of extending the result to larger times is an important, open question.