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Mean-field limit
for particle systems with topological interactions
Dario Benedetto, Emanuele Caglioti and Stefano Rossi
Vol. 9 (2021), No. 4, 423–440
DOI: 10.2140/memocs.2021.9.423
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Abstract |
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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 results by adapting to the multidimensional case the techniques developed by Trocheris in 1986 to treat the Vlasov–Poisson equation in one dimension. |
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Keywords
mean-field limit, topological interaction, Cucker–Smale
model
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Mathematical Subject Classification
Primary: 35Q83, 35Q92, 82C40
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Milestones
Received: 15 October 2021
Revised: 26 October 2021
Accepted: 29 November 2021
Published: 14 March 2022
Communicated by Mario Pulvirenti
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Authors |
| Dario Benedetto | |
| Dipartimento di Matematica Università di Roma “La Sapienza” Roma Italy |
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| Emanuele Caglioti | |
| Dipartimento di Matematica Università di Roma “La Sapienza” Roma Italy |
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| Stefano Rossi | |
| Dipartimento di Matematica Università di Roma “La Sapienza” Roma Italy |
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