Pedestrian Movement in Smoke: Theory, Data and Modelling Approaches

Ronchi, Enrico; Nilsson, Daniel

doi:10.1007/978-3-030-05129-7_3

Cited by 10 publications

(5 citation statements)

References 53 publications

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“…From a mathematical point of view, the situation becomes a lot more challenging when there is a feedback mechanism between the pedestrian dynamics and the environment (fire and geometry). Empirically, such pedestrians-environment feedback was pointed out in [28]. An extension can be done in this context using the smoke observable s(x, t).…”

Section: Discussionmentioning

confidence: 99%

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Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Thieu,

Muntean

2020

Preprint

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We study the existence and uniqueness of solutions to a coupled nonlinear system of Skorohod-like stochastic differential equations with reflecting boundary condition. The setting describes the evacuation dynamics of a mixed crowd composed of both active and passive pedestrians moving through a domain with obstacles, fire and smoke. As main working techniques, we use compactness methods and the Skorohod's representation of solutions to SDEs posed in bounded domains. The challenge is to handle the coupling and the nonlinearities present in the model equations together with the multipleconnectedness of the domain and the pedestrian-obstacle interaction.

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Section: Discussionmentioning

confidence: 99%

“…Hence, the discomfort p(x, t) represents a finite measure on the bounded set D ∩ B(x, δ). In addition, we assume the following structural relation between the smoke extinction and the walking speed (see in [20], [28]) as a function…”

Section: Active Populationmentioning

confidence: 99%

Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Thieu,

Muntean

2020

Preprint

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“…In general, topological interactions induce asymmetric interactions. Empirical data have been collected to investigate how the environment can modify visibility conditions 94 and how heterogeneity of the environment can contribute to the understanding of non-symmetric reactions to interactions.…”

Section: Further Reasonings On Modeling Interactionsmentioning

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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“…This effort needs additional work with respect to the development of computational schemes. The systems approach [18], the engineering vision of safety problems [26,27], computer vision and virtual reality [28][29][30], while a deep study of the psychology of crowds [31] can contribute to the assessment of all specific features to be taken into account in the modeling approach and hence in the machine learning design.…”

Section: Critical Analysis Towards Safety Problemsmentioning

confidence: 99%

Particle Methods Simulations by Kinetic Theory Models of Human Crowds Accounting for Stress Conditions

Ełaiw

Al‐Turki

2019

Symmetry

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This paper tackles the problem of simulating the dynamics of human crowds in high density conditions on venues which include internal obstacles and in the interaction between two crowd streams moving in two opposite directions. The role of stress condition is taken into account as simulations aim at providing a support to crisis managers in charge of reducing the risk of incidents. The rationale of the modeling approach is that kinetic theory approach, where individual interactions, which might be nonlinearly additive, non symmetric, and non nonlocal, lead to collective behaviors to be examined towards safety problems. Author Contributions: Conceptualization, A.E. and Y.A.-T.; methodology, A.E.; formal analysis, Y.A.-T.; investigation, A.E.; writing original draft preparation, Y.A.-T.; writing review and editing, A.E. and Y.A.-T.; project administration, A.E. All authors have read and agreed to the published version of the manuscript.

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Pedestrian Movement in Smoke: Theory, Data and Modelling Approaches

Cited by 10 publications

References 53 publications

Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Towards a mathematical theory of behavioral human crowds

Particle Methods Simulations by Kinetic Theory Models of Human Crowds Accounting for Stress Conditions

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