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Preprint 2010-013

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

Hao YAN and Wen-An Yong

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.

Paper:
Available as PDF (217 Kbytes).
Author(s):
Hao YAN,
Wen-An Yong,
Comments:
The paper is also on arXiv.
Submitted by:
; 2010-08-10.