Event Archive

Seminar by Peter Pickl

Thursday, April 20, 2017 at 02:00pm - 03:00pm


MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY
HILL 705
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Peter Pickl - Ludwig Maximilian University, Munich

  Date/Time/Location
Thursday,
April 20th, 2:00pm; Hill 705

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 the Vlasov equation for special initial conditions for the system we consider.