Mean-field limit for particle systems with topological interactions
Analysis of PDEs
2021-12-01 v2 Mathematical Physics
math.MP
Abstract
The mean-field limit for systems of self-propelled agents with topological interaction cannot be obtained by means of the usual Dobrushin approach. We get a result on this direction by adapting to the multidimensional case the techniques developed by Trocheris in 1986 to treat the Vlasov-Poisson equation in one dimension.
Keywords
Cite
@article{arxiv.2110.08099,
title = {Mean-field limit for particle systems with topological interactions},
author = {Dario Benedetto and Emanuele Caglioti and Stefano Rossi},
journal= {arXiv preprint arXiv:2110.08099},
year = {2021}
}
Comments
18 pages