A nonlocal traffic flow model with stochastic velocity

被引：1
|
作者：
Boehme, Timo [1 ]
Goettlich, Simone [1 ]
Neuenkirch, Andreas [1 ]
机构：
[1] Univ Mannheim, Dept Math, B6, D-68159 Mannheim, Germany
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2025年 / 59卷 / 01期
关键词：
Nonlocal scalar conservation laws; traffic flow; stochastic velocities; numerical simulations; SCALAR CONSERVATION-LAWS; WAVES; LIMIT; FLUX;
D O I：
10.1051/m2an/2024082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are provided, also addressing the question of well-posedness. A detailed numerical analysis offers insights how the stochasticity affects the evolution of densities. Finally, numerical examples illustrate the mean behavior of solutions and the influence of parameters for a large number of realizations.
引用
收藏
页码：487 / 518
页数：32
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