Weak solvability a fluid-like driven system for active-passive pedestrian dynamics

2019/10/11 by Thi Kim Thoa Thieu, Thieu, T. K. Thoa, Matteo Colangeli +3
Engineering · #34B60 #34D20 #35K55 #35K65 #35Q35 #76S05 #76S99 #Analysis of PDEs (math.AP) #Evacuation and Crowd Dynamics #FOS: Mathematics #Fluid Dynamics Simulations and Interactions #Traffic control and management

paper · pdf · doi:10.48550/arxiv.1910.05075

openalex publication_date 2019/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the question of weak solvability for a nonlinear coupled parabolic system that models the evolution of a complex pedestrian flow. The main feature is that the flow is composed of a mix of densities of active and passive pedestrians that are moving with different velocities. We rely on special energy estimates and on the use a Schauder's fixed point argument to tackle the existence of solutions to our evolution problem.

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