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Mathematical Physics Seminar

"Derivation of the Vlasov equation"

Peter Pickl , Ludwig Maximilian University, Munich

Location:  HILL 705
Date & time: Thursday, 20 April 2017 at 2:00PM -

Time: 2:00 PM
Location: Hill 705
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 zero. 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.

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Department of Mathematics

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Rutgers University
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