Non-local crowd dynamics

被引：17
|
作者：
Colombo, Rinaldo M. [1 ]
Garavello, Mauro [2 ]
Lecureux-Mercier, Magali [3 ]
机构：
[1] Univ Brescia, Dipartimento Matemat, I-25123 Brescia, Italy
[2] Univ Piemonte Orientate, Di STA, I-15121 Alessandria, Italy
[3] Univ Orleans, F-45067 Orleans 2, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 13-14期
关键词：
PEDESTRIAN FLOW;
D O I：
10.1016/j.crma.2011.07.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move toward a fixed target, deviating from the best path according to the crowd distribution. The resulting equation is a conservation law with a non-local flux. Each equation in this class generates a Lipschitz semigroup of solutions and is stable with respect to the functions and parameters defining it. Moreover, key qualitative properties such as the boundedness of the crowd density are proved. Two specific models in this class are considered. (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：769 / 772
页数：4
相关论文
共 50 条
  • [1] Crowd dynamics through non-local conservation laws
    Aekta Aggarwal
    Paola Goatin
    [J]. Bulletin of the Brazilian Mathematical Society, New Series, 2016, 47 : 37 - 50
  • [2] Crowd dynamics through non-local conservation laws
    Aggarwal, Aekta
    Goatin, Paola
    [J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2016, 47 (01): : 37 - 50
  • [3] Non-local first-order modelling of crowd dynamics: A multidimensional framework with applications
    Bruno, Luca
    Tosin, Andrea
    Tricerri, Paolo
    Venuti, Fiammetta
    [J]. APPLIED MATHEMATICAL MODELLING, 2011, 35 (01) : 426 - 445
  • [4] Deformable channel non-local network for crowd counting
    Zhang, Ting
    Wang, Huake
    Zhang, Kaibing
    Hou, Xingsong
    [J]. ELECTRONICS LETTERS, 2023, 59 (10)
  • [5] Condensate dynamics with non-local interactions
    Lentz, Erik W.
    Quinn, Thomas R.
    Rosenberg, Leslie J.
    [J]. NUCLEAR PHYSICS B, 2020, 952
  • [6] Fractional dynamics with non-local scaling
    Tarasov, Vasily E.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 102
  • [7] NON-LOCAL FIELD AND NON-LOCAL INTERACTION
    KATAYAMA, Y
    [J]. PROGRESS OF THEORETICAL PHYSICS, 1952, 8 (03): : 381 - 382
  • [8] Non-local effects in phase separation dynamics
    Nishiura, Y
    Ohnishi, I
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 417 - 419
  • [9] Mixed state dynamics with non-local interactions
    Lentz, Erik W.
    Lettermann, Leon
    Quinn, Thomas R.
    Rosenberg, Leslie J.
    [J]. NUCLEAR PHYSICS B, 2020, 961
  • [10] On a non-local equation arising in population dynamics
    Coville, Jerome
    Dupaigne, Louis
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 727 - 755
12345