MEAN-FIELD LIMIT FOR PARTICLE SYSTEMS WITH TOPOLOGICAL INTERACTIONS

被引：4
|
作者：
Benedetto, Dario [1 ]
Caglioti, Emanuele [1 ]
Rossi, Stefano [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat, Rome, Italy
来源：
MATHEMATICS AND MECHANICS OF COMPLEX SYSTEMS | 2021年 / 9卷 / 04期
关键词：
mean-field limit; topological interaction; Cucker-Smale model; VLASOV EQUATIONS; DYNAMICS; APPROXIMATION; PROPAGATION; BEHAVIOR; MODEL;
D O I：
10.2140/memocs.2021.9.423
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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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页码：423 / 440
页数：18
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