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- W4300900904 abstract "We introduce an individual-based model for fiber elements having the ability to cross-link or unlink each other and to align with each other at the cross links. We first formally derive a kinetic model for the fiber and cross-links distribution functions. We then consider the fast linking/unlinking regime in which the model can be reduced to the fiber distribution function only and investigate its diffusion limit. The resulting macroscopic model consists of a system of nonlinear diffusion equations for the fiber density and mean orientation. In the case of a homogeneous fiber density, we show that the model is elliptic." @default.
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- W4300900904 date "2015-05-19" @default.
- W4300900904 modified "2023-10-16" @default.
- W4300900904 title "Continuum model for linked fibers with alignment interactions" @default.
- W4300900904 doi "https://doi.org/10.48550/arxiv.1505.05027" @default.
- W4300900904 hasPublicationYear "2015" @default.
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