Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Stivaletta, Graziano"'
Autor:
Amadori, Debora, Andreianov, Boris, Di Francesco, Marco, Fagioli, Simone, Girard, Théo, Goatin, Paola, Markowich, Peter, Pietschmann, Jan F., Rosini, Massimiliano D., Russo, Giovanni, Stivaletta, Graziano, Wolfram, Marie-Therese
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version of the model, researchers focused on the structure of the Riemann prob
Externí odkaz:
http://arxiv.org/abs/2305.10076
This paper deals with the one-dimensional formulation of Hughes model for pedestrian flows in the setting of entropy solutions, which authorizes non-classical shocks at the location of the so-called turning curve. We consider linear cost functions, w
Externí odkaz:
http://arxiv.org/abs/2107.10039
The one-sided Lipschitz condition in the follow-the-leader approximation of scalar conservation laws
We consider the follow-the-leader particle approximation scheme for a $1d$ scalar conservation law with nonnegative $L^\infty_c$ initial datum and with a $C^1$ concave flux, which is known to provide convergence towards the entropy solution $\rho$ to
Externí odkaz:
http://arxiv.org/abs/2103.00061
Publikováno v:
In Journal of Differential Equations 5 October 2023 369:253-298
This paper deals with the derivation of entropy solutions to Cauchy problems for a class of scalar conservation laws with space-density depending fluxes from systems of deterministic particles of follow-the-leader type. We consider fluxes which are p
Externí odkaz:
http://arxiv.org/abs/1901.03618
Akademický článek
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Publikováno v:
Journal of Hyperbolic Differential Equations; Dec2022, Vol. 19 Issue 4, p775-807, 33p
This paper deals with the one-dimensional formulation of Hughes model for pedestrian flows. We consider linear cost functions, whose slopes α 0 correspond to different crowd behaviours. In fact, a panic behaviour is associated to α = 0, while, as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::8380c6ce1ff0b35b518b3303a740595b
https://hal.archives-ouvertes.fr/hal-03018675/file/MaxGra-28.pdf
https://hal.archives-ouvertes.fr/hal-03018675/file/MaxGra-28.pdf
Akademický článek
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