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International Workshop on Interacting Particle Systems

Derivation of the Vlasov equation for short range interactions


Peter Pickl , University of Munich, Germany


29 Mar, 21:55 - 22:15


The derivation of the Vlasov equation from Newtonian
mechanics is an old problem in mathematical physics. But while the
most interesting interactions in nature have singularities, one
typically assumes some Lipschitz condition on the interaction force
for its microscopic derivation. Recent developments have given results, where the interaction force
gets singular when the particle number N tends to infinity. Usually by
mollifying or cutting the singularity with a N-dependent mollifier or
cut-off parameter.

In the talk I will present a recent result for short range interaction
which also get singular as N tends to infinity.