The small mass limit for a McKean-Vlasov equation with state-dependent friction

被引：0
|
作者：
Shi, Chungang [1 ]
Wang, Mengmeng [2 ]
Lv, Yan [1 ]
Wang, Wei [3 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing, Peoples R China
[2] Nanjing Inst Technol, Sch Math & Phys, Nanjing, Peoples R China
[3] Nanjing Univ, Dept Math, Nanjing, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 411卷
基金：
中国国家自然科学基金;
关键词：
The small mass limit; Smoluchowski-Kramers approximation; State-dependent friction; McKean-Vlasov equation; Averaging; MEAN-FIELD LIMIT; DYNAMICS; PARTICLE; SYSTEMS;
D O I：
10.1016/j.jde.2024.08.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The small mass limit is derived for a McKean-Vlasov equation with state-dependent friction which is a matrix-valued function. By applying the averaging approach to a non-autonomous slow-fast system with the microscopic and macroscopic scales, the convergence in distribution is obtained. (c) 2024 Published by Elsevier Inc.
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页码：315 / 348
页数：34
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