Mean-field limit for particle systems with topological interactions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2021
- DOI:
- 10.48550/arXiv.2110.08099
- arXiv:
- arXiv:2110.08099
- Bibcode:
- 2021arXiv211008099B
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics;
- 35Q83;
- 82C40;
- 35Q92
- E-Print:
- 18 pages