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arXiv · 2402.17361

A granular model for crowd motion and pedestrian flow

Noureddine Igbida·José Miguel Urbano
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Abstract

We study a granular model for congested crowd motion and pedestrian flow. Our approach is based on an approximation through a Hele-Shaw type equation involving a degenerate operator of $p$-Laplacian type and a linear drift, for which we prove existence and uniqueness using nonlinear semigroup methods and the doubling variables technique. Our main result shows that, as $p \to \infty$, the weak solutions of the $p-$problem converge to a variational solution of the congested crowd motion problem.

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Noureddine Igbida, José Miguel Urbano. 2024-02-27. A granular model for crowd motion and pedestrian flow. https://arxiv.org/abs/2402.17361

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