Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation
Analysis of PDEs
2012-11-06 v1
Abstract
We consider a free interface problem which stems from a solid-gas model in combustion with pattern formation. We derive a third-order, fully nonlinear, self-consistent equation for the flame front. Asymptotic methods reveal that the interface approaches a solution of the Kuramoto-Sivashinsky equation. Numerical results are presented which illustrate the dynamics.
Keywords
Cite
@article{arxiv.1211.0678,
title = {Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation},
author = {Claude-Michel Brauner and Lina Hu and Luca Lorenzi},
journal= {arXiv preprint arXiv:1211.0678},
year = {2012}
}
Comments
To appear on Chinese Annals of Mathematics, Series B