A mean-field approach to self-interacting networks, convergence and regularity

被引：4
作者：
Catellier, Remi [1 ]
D'Angelo, Yves [1 ]
Ricci, Cristiano [2 ]
机构：
[1] Univ Cote dAzur, LJAD, CNRS, INRIA, Nice, France
[2] Scuola Normale Super Pisa, Pisa, Italy
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2021年 / 31卷 / 13期
关键词：
Interacting particle system; mathematical biology; hypoelliptic PDEs; APPROXIMATION; DYNAMICS; SYSTEMS; GROWTH; MODEL;
D O I：
10.1142/S0218202521500573
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The propagation of chaos property for a system of interacting particles, describing the spatial evolution of a network of interacting filaments is studied. The creation of a network of mycelium is analyzed as representative case, and the generality of the modeling choices are discussed. Convergence of the empirical density for the particle system to its mean-field limit is proved, and a result of regularity for the solution is presented.
引用
收藏
页码：2597 / 2641
页数：45
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