English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper a rigorous proof of the mean field limit for a pedestrian flowmodel in two dimensions is given by using a probabilistic method.  The model under investigation is an interacting particle system coupled tothe eikonal equation on the microscopic scale.  For stochastic initial data, it is proved that the solution of the$N$-particle pedestrian flow system with properly chosen cut-off converges inthe probability sense to the solution of the characteristics of the non-cut-offVlasov equation.  Furthermore, the result on propagation of chaos is also deduced in terms ofbounded Lipschitz distance.

Mean Field Limit and Propagation of Chaos for a Pedestrian Flow Model