Seminar Analysis and Mathematical Physics: Peter Pickl (Universität Tübingen)

Derivation of the Vlasov equation for singular interactions

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.

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