A heteroclinic orbit connecting traveling waves pertaining to different nonlinearities
Analysis of PDEs
2017-06-14 v1
Abstract
In this paper we consider a semilinear parabolic equation in an infinite cylinder. The spatially varying nonlinearity is such that it connects two (spatially independent) bistable nonlinearities in a compact set in space. We prove that, given such a setting, a traveling wave obeying the equation with the one bistable nonlinearity and starting at the respective side of the cylinder, will converge to a traveling wave solution prescribed by the nonlinearity on the other side.
Cite
@article{arxiv.1706.04092,
title = {A heteroclinic orbit connecting traveling waves pertaining to different nonlinearities},
author = {Simon Eberle},
journal= {arXiv preprint arXiv:1706.04092},
year = {2017}
}