M
Marie-Therese Wolfram
Researcher at University of Warwick
Publications - 96
Citations - 2037
Marie-Therese Wolfram is an academic researcher from University of Warwick. The author has contributed to research in topics: Nonlinear system & Type (model theory). The author has an hindex of 22, co-authored 91 publications receiving 1735 citations. Previous affiliations of Marie-Therese Wolfram include King Abdullah University of Science and Technology & Austrian Academy of Sciences.
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On a mean field game approach modeling congestion and aversion in pedestrian crowds
TL;DR: In this paper, a new class of pedestrian crowd models based on the mean field games theory introduced by Lasry and Lions in 2006 is presented, which considers smart pedestrians who rationally interact and anticipate the future.
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Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
Bertram Düring,Peter A. Markowich,Peter A. Markowich,Jan-Frederik Pietschmann,Marie-Therese Wolfram +4 more
TL;DR: Starting from microscopic interactions among individuals, this work arrives at a macroscopic description of the opinion formation process that is characterized by a system of Fokker–Planck-type equations.
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On the Hughes' model for pedestrian flow: The one-dimensional case
Marco Di Francesco,Peter A. Markowich,Peter A. Markowich,Jan-Frederik Pietschmann,Marie-Therese Wolfram +4 more
TL;DR: In this article, the authors investigated the mathematical theory of Hughes' model for the ow of pedestrians, consisting of a nonlinear conservation law for the density of pedestrians coupled with an eikonal equation for a potential modelling the common sense of the task.
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Mean field games with nonlinear mobilities in pedestrian dynamics
TL;DR: This paper discusses the modeling of the macroscopic optimal control approach and shows how the optimal conditions relate to Hughes model for pedestrian flow and results on the existence and uniqueness of minimizers are provided.
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Nonlinear Poisson–Nernst–Planck equations for ion flux through confined geometries
TL;DR: In this article, a simple model derived from a self-consisted random walk is proposed to simulate ion transport through biological and synthetic channels (nanopores) and conductance as a function of bath concentrations is investigated.