A Singular Perturbation Analysis for \\Unstable Systems with Convective Nonlinearity
Condensed Matter
2009-10-22 v1
Abstract
We use a singular perturbation method to study the interface dynamics of a non-conserved order parameter (NCOP) system, of the reaction-diffusion type, for the case where an external bias field or convection is present. We find that this method, developed by Kawasaki, Yalabik and Gunton for the time-dependant Ginzburg-Landau equation and used successfully on other NCOP systems, breaks down for our system when the strength of bias/convection gets large enough.
Cite
@article{arxiv.cond-mat/9312035,
title = {A Singular Perturbation Analysis for \\Unstable Systems with Convective Nonlinearity},
author = {Oliver Schönborn and Sanjay Puri and Rashmi C. Desai},
journal= {arXiv preprint arXiv:cond-mat/9312035},
year = {2009}
}
Comments
5 pages, PostScript format