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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper we study a novel Fokker-Planck-type model that is designed tomimic manufacturing processes through the dynamics characterizing a large setof agents. In particular, we describe a many-agent system interacting with atarget domain in such a way that each agent/particle is attracted by the centerof mass of the target domain with the aim to uniformly cover this zone. To thisend, we first introduce a mean-field model with discontinuous flux whose largetime behavior is such that the steady state is globally continuous and uniformover a connected portion of the domain. We prove that a diffusion coefficientthat guarantees that a given portion of mass enters in the target domain existsand that it is unique. Furthermore, convergence to equilibrium in 1D isprovided through a reformulation of the initial problem involving a nonconstantdiffusion function. The extension to 2D is explored numerically by means ofrecently introduced structure preserving methods for Fokker-Planck equations.

Fokker-Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results