A retarded mean-field approach for interacting fiber structures

R. Borsche, A. Klar, C. Nessler, A. Roth, O.T.C. Tse

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
52 Downloads (Pure)

Abstract

We consider an interacting system of one-dimensional structures modeling fibers with fiber-fiber interaction in a fiber lay-down process. The resulting microscopic system is investigated by looking at different asymptotic limits of the corresponding stochastic model. Equations arising from mean-field and diffusion limits are considered. Furthermore, numerical methods for the stochastic system and its mean-field counterpart are discussed. A numerical comparison of solutions corresponding to the different scales (microscopic, mesoscopic, and macroscopic) is included.
Original languageEnglish
Pages (from-to)1130-1154
Number of pages25
JournalMultiscale Modeling & Simulation
Volume15
Issue number3
DOIs
Publication statusPublished - 2017

Keywords

  • Delay equations
  • Fibers
  • Interacting stochastic particles
  • Mean-field equations
  • Retarded potential

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