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Derivation of the Vlasov equation for singular interactions
PDE and Applied Math Seminar| Speaker: | Peter Pickl, Tuebingen |
| Location: | Zoom https://ucdavis.zoom.us/j/92430148899 |
| Start time: | Thu, Feb 2 2023, 10:00AM |
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, ussually by mollifying or cutting the singularity
with a N-dependent mollifier or cut-off parameter.