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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
chemistry
From the microscale to collective crowd dynamics
Multiscale Modeling and Simulation, Volume 11, No. 3, Year 2013
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Description
This paper deals with the kinetic theory modeling crowd dynamics with the aim of showing how the dynamics at the microscale is transferred to the dynamics of collective behaviors. The derivation of a new model is followed by a qualitative analysis of the initial value problem. Existence of solutions is proved for arbitrary large times, while simulations are developed by computational schemes based on splitting methods, where the transport equations are treated by finite difference methods for hyperbolic equations. Some preliminary reasoning toward the modeling of panic conditions is proposed. © Unauthorized reproduction of this article is prohibited.
Authors & Co-Authors
Bellomo, Nicola
Italy, Turin
Politecnico Di Torino
Bellouquid, Abdelghani
Morocco, Safi
Ecole Nationale Des Sciences Appliquées de Safi
Knopoff, Damian A.
Argentina, Buenos Aires
Consejo Nacional de Investigaciones Científicas y Técnicas
Statistics
Citations: 102
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1137/130904569
ISSN:
15403459
e-ISSN:
15403467
Study Approach
Qualitative