Difference between revisions of "Seminar talks"

Special year in dynamical systems, Laboratoire CNRS J.-V. Poncelet
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* Ergodic theory and statistical physics in MSU, mech-math (B.M.Gurevich, V.I.Oseledets, S.Pirogov)
 
* Ergodic theory and statistical physics in MSU, mech-math (B.M.Gurevich, V.I.Oseledets, S.Pirogov)
  
'''February 22, 2012,''' 18h30, room 13-20.   
+
'''February 22, 2012,''' 18h30, MSU, mech-math, room 13-20.   
  
 
'''Isabelle Gallagher'''    ''Some results on the convergence from Newtonian to Boltzmann dynamics.''
 
'''Isabelle Gallagher'''    ''Some results on the convergence from Newtonian to Boltzmann dynamics.''

Latest revision as of 17:31, 25 February 2012

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.