Behavior Near Walls in the Mean-Field Approach to Crowd Dynamics

DOI10.1137/19M1267027zbMath1439.49071arXiv1907.07407OpenAlexW3023999430MaRDI QIDQ5110575

Alexander Aurell, Boualem Djehiche

Publication date: 21 May 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.07407

zbMATH Keywords

mean-field type controlsticky boundary conditionsboundary diffusionpedestrian crowd modeling

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of optimal control and differential games (49N90) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Optimal stochastic control (93E20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Stochastic differential games for crowd evacuation problems: a paradox ⋮ Risk-awareness in multi-level building evacuation with smoke: Burj Khalifa case study ⋮ Differential games for crowd dynamics and applications ⋮ Mini-workshop: Variable curvature bounds, analysis and topology on Dirichlet spaces. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting)

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