Traveling waves for the FitzHugh–Nagumo system on an infinite channel
Journal
Journal of Differential Equations
Journal Volume
261
Journal Issue
6
Pages
3010-3041
Date Issued
2016
Author(s)
Abstract
We are concerned with the traveling wave solutions for the FitzHugh–Nagumo system on an infinite channel. Based on a variational formulation in which a non-local term depends on a parameter, the speed of a traveling wave can be selected out. Furthermore, to show the existence of a traveling wave solution with such a speed, we seek a minimizer subject to a constraint. In the way of solving the variational problem, we apply a truncation technique to the nonlocal term to obtain a minimizer located in a bounded invariant region.
Type
journal article