Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations

Abstract

Linear reaction-hyperbolic equations arise in the transport of neurofilaments and membrane-bound organelles in axons. The profile of the solution was shown by simulations to be approximately that of a traveling wave; this was also suggested by formal calculations (Reed et al., 1990). In this paper we prove such a result rigorously1. 
DOI: 10.1137/050637947

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