Meanfield limit for particle systems with topological interactions
Abstract
The meanfield limit for systems of selfpropelled 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 VlasovPoisson equation in one dimension.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.08099
 Bibcode:
 2021arXiv211008099B
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematical Physics;
 35Q83;
 82C40;
 35Q92
 EPrint:
 18 pages