Below is the ascii version of the abstract for 13-91. The html version should be ready soon.

Gianni Arioli, Hans Koch
Existence and stability of traveling pulse solutions 
of the FitzHugh-Nagumo equation
(1086K, plain TeX, with eps figures)

ABSTRACT.  The FitzHugh-Nagumo model is a reaction-diffusion equation 
describing the propagation of electrical signals 
in nerve axons and other biological tissues. 
One of the model parameters is the ratio ε of two time scales, 
which takes values between 0.001 and 0.1 in typical simulations 
of nerve axons. 
Based on the existence of a (singular) limit at ε=0, 
it has been shown that the FitzHugh-Nagumo equation admits 
a stable traveling pulse solution for sufficiently small ε>0. 
In this paper we prove the existence of such a solution for ε=0.01. 
We consider both circular axons and axons of infinite length. 
Our method is non-perturbative and should apply 
to a wide range of other parameter values.