Existence of radial stationary solutions for a system in combustion theory

Details Existence of radial stationary solutions for a system in combustion theory Existence of radial stationary solutions for a system in combustion theory

2011-06-28

arxiv.org/abs/1106.5597v1

Discrete and Continuous Dynamical Systems: Series B 16, 3 (2011) xx

Mathematics

Analysis of PDEs

Scientific paper

10.3934/dcdsb.2011.16.xx

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.

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