Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives

被引：196

作者：

Albi, G. ^{[1
]}

Bellomo, N. ^{[2
,3
]}

Fermo, L. ^{[4
]}

Ha, S. -Y. ^{[5
,6
,7
]}

Kim, J. ^{[5
]}

Pareschi, L. ^{[8
]}

Poyato, D. ^{[9
,10
]}

Soler, J. ^{[9
,10
]}

机构：

[1] Univ Verona, Dept Comp Sci, Verona, Italy

[2] Politecn Torino, Turin, Italy

[3] Collegio Carlo Alberto, Turin, Italy

[4] Univ Cagliari, Dept Math & Comp Sci, Cagliari, Italy

[5] Seoul Natl Univ, Dept Math Sci, Seoul, South Korea

[6] Seoul Natl Univ, Res Inst Math, Seoul, South Korea

[7] Korea Inst Adv Study, Seoul, South Korea

[8] Univ Ferrara, Dept Math & Comp Sci, Ferrara, Italy

[9] Univ Granada, Dept Matemat Aplicada, Granada 18071, Spain

[10] Univ Granada, Res Unit Modeling Nat MNat, Granada 18071, Spain

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2019年 / 29卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

Active particles; kinetic equations; vehicular traffic; human crowds; swarms; multiscale vision; MEAN-FIELD LIMIT; MEASURE-VALUED SOLUTIONS; CUCKER-SMALE PARTICLES; PHASE-LOCKED STATES; KURAMOTO MODEL; EULERIAN DYNAMICS; FLOCKING DYNAMICS; COMPLETE SYNCHRONIZATION; FUNDAMENTAL DIAGRAMS; PEDESTRIAN DYNAMICS;

D O I：

10.1142/S0218202519500374

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a review and critical analysis on the modeling of the dynamics of vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It contains a survey of the kinetic models developed in the last 10 years on the aforementioned topics so that overlapping with previous reviews can be avoided. Although the main focus of this paper lies on the mesoscopic models for collective dynamics, we provide a brief overview on the corresponding micro and macroscopic models, and discuss intermediate role of mesoscopic model between them. Moreover, we provide a number of selected challenging research perspectives for readers' attention.

引用

页码：1901 / 2005

页数：105

共 232 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].