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We investigate the existence and stability of small perturbations of constant states of the generalized Hughes model for pedestrian flow in an infinitely large corridor.
A continuum theory for the flow of pedestrians
Roger L Hughes · 2002
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Mean field games
Jean-Michel Lasry and Pierre-Louis Lions · 2007
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Discrete time, finite state space mean field games
Diogo A Gomes, Joana Mohr, and Rafael Rigao Souza · 2010
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Long time average of mean field games
Pierre Cardaliaguet, Jean-Michel Lasry, Pierre-Louis Lions, and Alessio Porretta · 2012
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Long time average of mean field games with a nonlocal coupling
Pierre Cardaliaguet, J-M Lasry, P-L Lions, and Alessio Porretta · 2013
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Mean field games with nonlinear mobilities in pedestrian dynamics
Martin Burger, Marco Di Francesco, Peter A Markowich, and Marie-Therese Wolfram · 2014
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Weak solutions to fokker–planck equations and mean field games
Alessio Porretta · 2015
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Time-dependent mean-field games in the subquadratic case
Diogo A Gomes, Edgard A Pimentel, and Héctor Sánchez-Morgado · 2015
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An improved version of the hughes model for pedestrian flow
Jose A Carrillo, Stephan Martin, and Marie-Therese Wolfram · 2016
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Time-dependent mean-field games in the superquadratic case
Diogo A Gomes, Edgard Pimentel, and Héctor Sánchez-Morgado · 2016
Earlier work this paper cites.
Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures
Maria Bruna, Martin Burger, Helene Ranetbauer, and Marie-Therese Wolfram · 2017
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Mean field games with congestion
Yves Achdou and Alessio Porretta · 2018
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Strong solutions for time-dependent mean field games with non-separable hamiltonians
David M Ambrose · 2018
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On the turnpike property for mean field games
Alessio Porretta · 2018
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The variational structure and time-periodic solutions for mean-field games systems
Marco Cirant and Levon Nurbekyan · 2018
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Long time behavior of the master equation in mean field game theory
Pierre Cardaliaguet and Alessio Porretta · 2019
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Long time behavior and turnpike solutions in mildly non-monotone mean field games
Marco Cirant and Alessio Porretta · 2021
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Maximal l q-regularity for parabolic hamilton–jacobi equations and applications to mean field games
Marco Cirant and Alessandro Goffi · 2021
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Nikiforos Mimikos-Stamatopoulos and Sebastian Munoz · 2022
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Classical and weak solutions to local first-order mean field games through elliptic regularity
Sebastian Muñoz · 2022
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Synchronization in a kuramoto mean field game
Rene Carmona, Quentin Cormier, and H Mete Soner · 2022
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On the existence of oscillating solutions in non-monotone mean-field games
Marco Cirant · 2019
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The master equation and the convergence problem in mean field games:(ams-201)
Pierre Cardaliaguet, François Delarue, Jean-Michel Lasry, and Pierre-Louis Lions · 2019
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On quasi-stationary mean field games models
Charafeddine Mouzouni · 2020
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Brake orbits and heteroclinic connections for first order mean field games
Annalisa Cesaroni and Marco Cirant · 2021
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Non-separable mean field games for pedestrian flow: Generalized hughes model
Mohamed Ghattassi and Nader Masmoudi
Cited in the paper.
Cours au collège de france. www.college-de-france.fr
Pierre-Louis Lions
Cited in the paper.
Existence and non-existence for time-dependent mean field games with strong aggregation
Marco Cirant and Daria Ghilli · 2022
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The mathematical theory of hughes’ model: a survey of results
Debora Amadori, Boris Andreianov, Marco Di Francesco, Simone Fagioli, Théo Girard, Paola Goatin, Peter Markowich, Jan F Pietschmann, Massimiliano D Rosini, Giovanni Russo, et al · 2023
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On quasi-stationary mean field games of controls
Fabio Camilli and Claudio Marchi · 2023
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Classical solutions to local first-order extended mean field games
Sebastian Munoz · 2023
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Stationary equilibria and their stability in a kuramoto mfg with strong interaction
Annalisa Cesaroni and Marco Cirant · 2023
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