Stationary solutions and Neumann boundary conditions in the Sivashinsky equation
Classical Physics
2007-05-23 v1 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
New stationary solutions of the (Michelson) Sivashinsky equation of premixed flames are obtained numerically in this paper. Some of these solutions, of the bicoalescent type recently described by Guidi and Marchetti, are stable with Neumann boundary conditions. With these boundary conditions, the time evolution of the Sivashinsky equation in the presence of a moderate white noise is controlled by jumps between stationary solutions.
Keywords
Cite
@article{arxiv.physics/0604120,
title = {Stationary solutions and Neumann boundary conditions in the Sivashinsky equation},
author = {Bruno Denet},
journal= {arXiv preprint arXiv:physics/0604120},
year = {2007}
}