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

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

2010-06-21

arxiv.org/abs/1006.3994v1

Mathematics

Analysis of PDEs

Scientific paper

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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