均匀全秩约束下粒子系统的平均场极限

IF 1 4区数学 Q1 MATHEMATICS

Kinetic and Related Models Pub Date : 2022-03-14 DOI:10.3934/krm.2023012

Steffen Plunder, B. Simeon

{"title":"均匀全秩约束下粒子系统的平均场极限","authors":"Steffen Plunder, B. Simeon","doi":"10.3934/krm.2023012","DOIUrl":null,"url":null,"abstract":"We consider a particle system with uniform coupling between a macroscopic component and individual particles. The constraint for each particle is of full rank, which implies that each movement of the macroscopic component leads to a movement of all particles and vice versa. Skeletal muscle tissues share a similar property which motivates this work. We prove convergence of the mean-field limit, well-posedness and a stability estimate for the mean-field PDE.","PeriodicalId":49942,"journal":{"name":"Kinetic and Related Models","volume":"4 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The mean-field limit for particle systems with uniform full-rank constraints\",\"authors\":\"Steffen Plunder, B. Simeon\",\"doi\":\"10.3934/krm.2023012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider a particle system with uniform coupling between a macroscopic component and individual particles. The constraint for each particle is of full rank, which implies that each movement of the macroscopic component leads to a movement of all particles and vice versa. Skeletal muscle tissues share a similar property which motivates this work. We prove convergence of the mean-field limit, well-posedness and a stability estimate for the mean-field PDE.\",\"PeriodicalId\":49942,\"journal\":{\"name\":\"Kinetic and Related Models\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-03-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kinetic and Related Models\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3934/krm.2023012\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kinetic and Related Models","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3934/krm.2023012","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们考虑一个宏观组分和单个粒子之间具有均匀耦合的粒子系统。每个粒子的约束都是满秩的，这意味着宏观分量的每次运动都会导致所有粒子的运动，反之亦然。骨骼肌组织具有类似的特性，这促使了这项工作。证明了平均场极限的收敛性、适定性和平均场偏微分方程的稳定性估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The mean-field limit for particle systems with uniform full-rank constraints

We consider a particle system with uniform coupling between a macroscopic component and individual particles. The constraint for each particle is of full rank, which implies that each movement of the macroscopic component leads to a movement of all particles and vice versa. Skeletal muscle tissues share a similar property which motivates this work. We prove convergence of the mean-field limit, well-posedness and a stability estimate for the mean-field PDE.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.