An improved version of the Hughes model for pedestrian flow

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Mean field games with nonlinear mobilities in pedestrian dynamics

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Existence results for Hughes' model for pedestrian flows

(2014) Debora Amadori et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A Hierarchy of Heuristic-Based Models of Crowd Dynamics

(2013) P. Degond et al.   JOURNAL OF STATISTICAL PHYSICS

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(2013) Pierre Degond et al.   Kinetic and Related Models

From the Microscale to Collective Crowd Dynamics

(2013) Nicola Bellomo et al.   MULTISCALE MODELING & SIMULATION

The Wave-Front Tracking Algorithm for Hughes' Model of Pedestrian Motion

(2013) Paola Goatin et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

On entropy weak solutions of Hughes’ model for pedestrian motion

(2013) Nader El-Khatib et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

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

(2012) Debora Amadori et al.   ACTA MATHEMATICA SCIENTIA

Nonlocal Crowd Dynamics Models for Several Populations

(2012) Rinaldo M. Colombo et al.   ACTA MATHEMATICA SCIENTIA

Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow

(2012) Gianluca Crippa et al.   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Traffic Instabilities in Self-Organized Pedestrian Crowds

(2012) Mehdi Moussaïd et al.   PLoS Computational Biology

A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC

(2011) RINALDO M. COLOMBO et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Multiscale Modeling of Granular Flows with Application to Crowd Dynamics

(2011) Emiliano Cristiani et al.   MULTISCALE MODELING & SIMULATION

Two-way multi-lane traffic model for pedestrians in corridors

(2011) Sébastien Motsch et al.   Networks and Heterogeneous Media

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

(2011) Nicola Bellomo et al.   SIAM REVIEW

On a mean field game approach modeling congestion and aversion in pedestrian crowds

(2011) Aimé Lachapelle et al.   TRANSPORTATION RESEARCH PART B-METHODOLOGICAL

On the Hughes' model for pedestrian flow: The one-dimensional case

(2010) Marco Di Francesco et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Modeling crowd dynamics by the mean-field limit approach

(2010) Christian Dogbé   MATHEMATICAL AND COMPUTER MODELLING

FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems

(2009) Michael Dumbser et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

FORCE schemes on unstructured meshes I: Conservative hyperbolic systems

(2009) Eleuterio F. Toro et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Crowd-structure interaction in lively footbridges under synchronous lateral excitation: A literature review

(2009) Fiammetta Venuti et al.   Physics of Life Reviews

Revisiting Hughes’ dynamic continuum model for pedestrian flow and the development of an efficient solution algorithm

(2008) Ling Huang et al.   TRANSPORTATION RESEARCH PART B-METHODOLOGICAL