Nonlocalized modulation of periodic reaction diffusion waves: Nonlinear stability
Analysis of PDEs
2015-05-28 v2
Abstract
By a refinement of the technique used by Johnson and Zumbrun to show stability under localized perturbations, we show that spectral stability implies nonlinear modulational stability of periodic traveling-wave solutions of reaction diffusion systems under small perturbations consisting of a nonlocalized modulation plus a localized perturbation. The main new ingredient is a detailed analysis of linear behavior under modulational data , where is the background profile and is the initial modulation
Cite
@article{arxiv.1105.5040,
title = {Nonlocalized modulation of periodic reaction diffusion waves: Nonlinear stability},
author = {Mathew Johnson and Pascal Noble and L. Miguel Rodrigues and Kevin Zumbrun},
journal= {arXiv preprint arXiv:1105.5040},
year = {2015}
}