论文标题
一种自我互动网络，融合和规律性的平均场地方法
A mean-field approach to self-interacting network, convergence and regularity
论文作者
论文摘要
研究了相互作用粒子系统的混乱特性，描述了相互作用的细丝网络的空间演化。将菌丝网网络的建立分析为代表性案例，并讨论了建模选择的一般性。证明了粒子系统的经验密度与其平均场极限的收敛性，并提出了溶液规律性的结果。
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.
