Non-Planar Fronts in Boussinesq Reactive Flows
Analysis of PDEs
2007-05-23 v1
Abstract
We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar traveling front solutions that propagate at a constant speed. We also establish uniform upper bounds on the burning rate and the flow velocity for general front-like initial data for the Cauchy problem.
Cite
@article{arxiv.math/0407303,
title = {Non-Planar Fronts in Boussinesq Reactive Flows},
author = {H. Berestycki and P. Constantin and L. Ryzhik},
journal= {arXiv preprint arXiv:math/0407303},
year = {2007}
}