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arXiv · 1006.3994

Weak entropy solutions of nonlinear reaction-hyperbolic systems for axonal transport

Hao Yan·Wen-An Yong
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Abstract

This paper is concerned with a class of nonlinear reaction-hyperbolic systems as models for axonal transport in neuroscience. We show the global existence of entropy-satisfying BV-solutions to the initial-value problems by using hyperbolic-type methods. Moreover, we rigorously justify the limit as the biochemical processes are much faster than the transport ones.

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Hao Yan, Wen-An Yong. 2010-06-21. Weak entropy solutions of nonlinear reaction-hyperbolic systems for axonal transport. https://arxiv.org/abs/1006.3994

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