Collective behavior models with vision geometrical constraints: Truncated noises and propagation of chaos

Young Pil Choi, Samir Salem

Research output: Contribution to journalArticle

Abstract

We consider large systems of stochastic interacting particles through discontinuous kernels which has vision geometrical constrains. We rigorously derive a Vlasov–Fokker–Planck type of kinetic mean-field equation from the corresponding stochastic integral inclusion system. More specifically, we construct a global-in-time weak solution to the stochastic integral inclusion system and derive the kinetic equation with the discontinuous kernels and the inhomogeneous noise strength by employing the 1-Wasserstein distance.

Original languageEnglish
Pages (from-to)6109-6148
Number of pages40
JournalJournal of Differential Equations
Volume266
Issue number9
DOIs
Publication statusPublished - 2019 Apr 15

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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