Seminar Analysis and Mathematical Physics: Peter Pickl (Universität Tübingen)
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 most recent developments and new results on
this topic.
Veranstaltung übernehmen als
iCal