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Seminar
FIELD Math:Analysis
DATE February 25 (Thu), 2021
TIME 16:00-18:00
PLACE Online
SPEAKER Pickl, Peter
HOST Lee, Jinyeop
INSTITUTE Institut der Universitat Munchen
TITLE Derivation of the Vlasov equation
ABSTRACT The rigorous derivation of the Vlasov equation from Newtonian mechanics of N Coulomb-interacting particles is still an open problem.In the talk I will present recent results, where an N-dependent cutoff is used to make the derivation possible. The cutoff is removed as the particle number goes to infinity. Our result holds for typical initial conditions, only. This is, however, not a technical assumption: one can in fact prove deviation from Vlasov dynamics for special initial conditions for the system we consider.
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