Kinematic Equations for Front Motion and Spiral-Wave Nucleation
patt-sol
2015-06-26 v1 Pattern Formation and Solitons
Abstract
We present a new set of kinematic equations for front motion in bistable media. The equations extend earlier kinematic approaches by coupling the front curvature with the order parameter associated with a parity breaking front bifurcation. In addition to naturally describing the core region of rotating spiral waves the equations can be be used to study the nucleation of spiral-wave pairs along uniformly propagating fronts. The analysis of spiral-wave nucleation reduces to the simpler problem of droplet, or domain, nucleation in one space dimension.
Cite
@article{arxiv.patt-sol/9709004,
title = {Kinematic Equations for Front Motion and Spiral-Wave Nucleation},
author = {Aric Hagberg and Ehud Meron},
journal= {arXiv preprint arXiv:patt-sol/9709004},
year = {2015}
}
Comments
8 pages. Aric Hagberg: http://cnls.lanl.gov/~aric; Ehud Meron: http://www.bgu.ac.il/BIDR/research/staff/meron.html