A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour
نویسندگان
چکیده
In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with single entrance and exit. The inflow outflow conditions at both exit as well shape domain have strong influence on structure profiles, particular formation boundary layers. We are able to relate location these layers using geometric singular perturbation theory. Furthermore, confirm exemplify our analytical results by means computational experiments.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126018