Existence of Solutions for a Class of One-Dimensional Models of Pedestrian Evacuations-Reference-Cited by-同舟云学术

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Existence of Solutions for a Class of One-Dimensional Models of Pedestrian Evacuations

Published:2024-05-06 Issue:3 Volume:56 Page:3386-3411
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Andreianov Boris¹^ORCID,Girard Theo²

Affiliation:

1. Institut Denis Poisson CNRS UMR, 7013, Université de Tours, Université d’Orléans, Parc Grandmont, 37200 Tours, France, and Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation.

2. Institut Denis Poisson, Université de Tours, Parc Grandmont, 37200 Tours, France.

Funder

RUDN University

Agence Nationale de la Recherche

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference28 articles.

1. The Mathematical Theory of Hughes’ Model: A Survey of Results

2. The one-dimensional Hughes model for pedestrian flow: Riemann—type solutions

3. Existence results for Hughes' model for pedestrian flows

4. Finite volume schemes for locally constrained conservation laws

5. A Theory of L 1-Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux

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