A Retarded Mean-Field Approach for Interacting Fiber Structures
Dynamical Systems
2017-10-06 v1 Analysis of PDEs
Abstract
We consider an interacting system of one-dimensional structures modelling 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.
Cite
@article{arxiv.1501.06465,
title = {A Retarded Mean-Field Approach for Interacting Fiber Structures},
author = {Raul Borsche and Axel Klar and Christian Nessler and Andreas Roth and Oliver Tse},
journal= {arXiv preprint arXiv:1501.06465},
year = {2017}
}
Comments
23 pages, 16 figures