Convective instability induced by nonlocality in nonlinear diffusive systems
Pattern Formation and Solitons
2009-11-11 v2
Abstract
We consider a large class of nonlinear diffusive systems with nonlocal coupling. By using a non-perturbative analytical approach we are able to determine the convective and absolute instabilities of all the uniform states of these systems. We find a huge window of convective instability that should provide a great opportunity to study experimentally and theoretically noise sustained patterns.
Cite
@article{arxiv.nlin/0503064,
title = {Convective instability induced by nonlocality in nonlinear diffusive systems},
author = {Francesco Papoff and Roberta Zambrini},
journal= {arXiv preprint arXiv:nlin/0503064},
year = {2009}
}
Comments
5 pages, accepted for publication in PRL