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arXiv 2110.08099math.APmath-phmath.MP
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具有拓扑相互作用的粒子系统的平均场极限

Mean-field limit for particle systems with topological interactions

Dario Benedetto, Emanuele Caglioti, Stefano Rossi

摘要:

具有拓扑相互作用的自推进剂系统的平均场极限不能通过通常的Dobrushin方法获得。我们在这个方向上得到的结果,适应多维的情况下,Trocheris在1986年开发的技术处理的Vlasov-泊松方程在一维。

英文摘要:

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 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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