@inproceedings{77d6fd19b1c54cf6b2eaa774b4c72820,
title = "Front speeds, cut-offs, and desingularization: A brief case study",
abstract = "The study of propagation phenomena in reaction-diffusion systems is a central topic in non-equilibrium physics. One particular aspect which has received recent attention concerns the effects of a {"}cut-off{"} of the reaction kinetics on the propagation speed of the traveling fronts often found in such systems. In this brief note, we discuss one specific example of front propagation into a metastable state in a {"}cut-off{"} Ginzburg-Landau equation. We indicate how the modified dynamics resulting from this {"}cut-off{"} can be understood from a geometric point of view. Moreover, we motivate why the leading-order correction to the unperturbed propagation speed will be a sublinear function of the {"}cut-off{"} parameter in this case.",
keywords = "reaction-diffusion equations, cut-off, traveling fronts, front speed, desingularization, PROPAGATION",
author = "Nikola Popovic",
year = "2007",
doi = "10.1090/conm/440",
language = "English",
isbn = "978-0-8218-4247-8",
series = "CONTEMPORARY MATHEMATICS SERIES",
publisher = "American Mathematical Society",
pages = "187--195",
editor = "F Botelho and T Hagen and J Jamison",
booktitle = "Fluids and Waves: Recent Trends in Applied Analysis",
address = "United States",
note = "Research Conference on Fluids and Waves ; Conference date: 11-05-2006 Through 13-05-2006",
}