Pattern formation in flows of asymmetrically interacting particles: Peristaltic pedestrian dynamics as a case study

Gaididei, Yuri; Marschler, Christian; Sørensen, Mads Peter; Christiansen, Peter Leth; Rasmussen, Jens Juul

doi:10.3934/eect.2019005

Cited by 4 publications

(2 citation statements)

References 30 publications

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“…considering the perception of the environment 39 or asymmetric interactions. 59 However, the modeling approach of a different variety of emotional states by a variable modified by interactions still appears to be an open problem which is tackled in Sec. 4 of our paper.…”

Section: Microscopic (Individual-based) Scalementioning

confidence: 99%

Towards a mathematical theory of behavioral human crowds

Bellomo

Gibelli

Quaini

et al. 2022

Math. Models Methods Appl. Sci.

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The first part of our paper presents a general survey on the modeling, analytic problems, and applications of the dynamics of human crowds, where the specific features of living systems are taken into account in the modeling approach. This critical analysis leads to the second part which is devoted to research perspectives on modeling, analytic problems, multiscale topics which are followed by hints towards possible achievements. Perspectives include the modeling of social dynamics, multiscale problems and a detailed study of the link between crowds and swarms modeling.

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Section: Microscopic (Individual-based) Scalementioning

confidence: 99%

Towards a mathematical theory of behavioral human crowds

Bellomo

Gibelli

Quaini

et al. 2022

Math. Models Methods Appl. Sci.

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“…Gaididei et al [9] recently reported pattern formation in flows of asymmetrically interacting particles with peristaltic pedestrian dynamics as a case study.…”

Section: Introductionmentioning

confidence: 99%

Fluid transport with suspended particles by means of dilating peristaltic waves

Pandey

Tiwari

2020

SN Appl. Sci.

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In the present study, transport of a Newtonian fluid containing uniformly distributed tiny particles moving in a cylindrical tube is investigated when the peristaltic wave amplitude dilates exponentially. Long wavelength approximation is used to get rid of non-linear inertia terms. It is observed that dilation of wave-amplitude during propagation enhances pressure but reduces it with rising concentration of particulate suspension. Pressure rises with the amplitude dilation parameter in case solid particles are suspended in the fluid. Pressure is also observed to increase in the distal part of the tube.

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Human behavioral crowds review, critical analysis and research perspectives

Bellomo

Lü

Quaini

et al. 2023

Math. Models Methods Appl. Sci.

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This paper presents a survey and critical analysis of the mathematical literature on modeling and simulation of human crowds taking into account behavioral dynamics. The main focus is on research papers published after the review [N. Bellomo and C. Dogbè, On the modeling of traffic and crowds: A survey of models, speculations, and perspectives, SIAM Rev. 53 (2011) 409–463], thus providing important research perspectives related to new, emerging trends. The presentation addresses the scaling problem corresponding to microscopic (individual-based), mesoscopic (kinetic), and macroscopic (hydrodynamic) modeling and analysis. A multiscale vision guides the overall content of the paper. The critical analysis of the overall content naturally leads to research perspectives. A selection of them is brought to the attention of the interested reader together with hints on how to deal with them.

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Pattern formation in flows of asymmetrically interacting particles: Peristaltic pedestrian dynamics as a case study

Cited by 4 publications

References 30 publications

Towards a mathematical theory of behavioral human crowds

Towards a mathematical theory of behavioral human crowds

Fluid transport with suspended particles by means of dilating peristaltic waves

Human behavioral crowds review, critical analysis and research perspectives

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