Existence of radial stationary solutions for a system in combustion theory
Analysis of PDEs
2011-06-29 v1
Abstract
In this paper, we construct radially symmetric solutions of a nonlinear noncooperative elliptic system derived from a model for flame balls with radiation losses. This model is based on a one step kinetic reaction and our system is obtained by approximating the standard Arrehnius law by an ignition nonlinearity, and by simplifying the term that models radiation. We prove the existence of 2 solutions using degree theory.
Keywords
Cite
@article{arxiv.1106.5597,
title = {Existence of radial stationary solutions for a system in combustion theory},
author = {Jerome Coville and Juan Davila},
journal= {arXiv preprint arXiv:1106.5597},
year = {2011}
}