<div class="csl-bib-body">
<div class="csl-entry">Iuorio, A., Jankowiak, G., Szmolyan, P., & Wolfram, M.-T. (2022). A PDE model for unidirectional flows: Stationary profiles and asymptotic behaviour. <i>Journal of Mathematical Analysis and Applications</i>, <i>510</i>(2), Article 126018. https://doi.org/10.1016/j.jmaa.2022.126018</div>
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dc.identifier.issn
0022-247X
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/139385
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dc.description.abstract
In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with a single entrance and exit. The inflow and outflow conditions at both the entrance and exit as well as the shape of the domain have a strong influence on the structure of stationary profiles, in particular on the formation of boundary layers. We are able to relate the location and shape of these layers to the inflow and outflow conditions as well as the shape of the domain using geometric singular perturbation theory. Furthermore, we confirm and exemplify our analytical results by means of computational experiments.
en
dc.language.iso
en
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dc.publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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dc.relation.ispartof
Journal of Mathematical Analysis and Applications
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dc.subject
Burgers' equation
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dc.subject
Dimension reduction
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dc.subject
Geometric singular perturbation theory
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dc.subject
Non linear boundary value problem
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dc.subject
Pedestrian dynamics
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dc.subject
Stationary states
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dc.title
A PDE model for unidirectional flows: Stationary profiles and asymptotic behaviour
