Existence of radial stationary solutions for a system in combustion theory

DOI10.3934/DCDSB.2011.16.739zbMATH Open1232.35059arXiv1106.5597OpenAlexW4294181842MaRDI QIDQ717926

Jérôme Coville, Juan Dávila

Publication date: 10 October 2011

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1106.5597

zbMATH Keywords

radial solutionselliptic systemcombustion modelflame balls

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Combustion (80A25) Second-order elliptic systems (35J47)

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