Sivashinsky equation in a rectangular domain
Classical Physics
2007-05-23 v2 Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
The (Michelson) Sivashinsky equation of premixed flames is studied in a rectangular domain in two dimensions. A huge number of 2D stationary solutions are trivially obtained by addition of two 1D solutions. With Neumann boundary conditions, it is shown numerically that adding two stable 1D solutions leads to a 2D stable solution. This type of solution is shown to play an important role in the dynamics of the equation with additive noise.
Keywords
Cite
@article{arxiv.physics/0702099,
title = {Sivashinsky equation in a rectangular domain},
author = {Bruno Denet},
journal= {arXiv preprint arXiv:physics/0702099},
year = {2007}
}