Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609396 | Journal of Differential Equations | 2016 | 32 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chao-Nien Chen, Chiun-Chuan Chen, Chih-Chiang Huang,