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arXiv · 1501.06465

A Retarded Mean-Field Approach for Interacting Fiber Structures

Raul Borsche·Axel Klar·Christian Nessler·Andreas Roth·Oliver Tse
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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.

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Raul Borsche, Axel Klar, Christian Nessler, Andreas Roth, Oliver Tse. 2015-01-26. A Retarded Mean-Field Approach for Interacting Fiber Structures. https://doi.org/10.1137/151005592

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