A mean-field limit of the particle swarmalator model

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2021-01-01 DOI:10.3934/KRM.2021011

Seung‐Yeal Ha, Jinwook Jung, Jeongho Kim, Jinyeong Park, Xiongtao Zhang

引用次数: 9

Abstract

We present a mean-field limit of the particle swarmalator model introduced in [ 46 ] with singular communication weights. For a mean-field limit, we employ a probabilistic approach for the propagation of molecular chaos and suitable cut-offs in singular terms, which results in the validation of the mean-field limit. We also provide a local-in-time well-posedness of strong and weak solutions to the derived kinetic swarmalator equation.

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粒子群集模型的平均场极限

我们给出了[46]中引入的具有奇异通信权值的粒子蜂群模型的平均场极限。对于平均场极限，我们采用了分子混沌传播的概率方法和适当的奇异项截断，从而验证了平均场极限的正确性。我们还给出了所导出的动力学蜂拥子方程的强解和弱解的局域适定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kinetic and Related Models 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.