Existence, uniqueness and bounds for a problem in combustion theory

DOI10.1016/j.cam.2003.10.023zbMath1042.80005OpenAlexW1967439982MaRDI QIDQ596148

Mohammed Al-Refai

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.10.023

zbMATH Keywords

Elliptic equationsCombustion theoryComparison theory

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Combustion (80A25)

Related Items (5)

Analytical sequences of upper and lower solutions for a class of elliptic equations ⋮ Existence and blow-up for a parabolic system from combustion theory ⋮ Monotone iterative sequences for nonlinear integro-differential equations of second order ⋮ Upper and lower bounds for a reactive-diffuse system with Arrhenius kinetics ⋮ Bounds and critical parameters for a combustion problem

Cites Work

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• Reactive-Diffusive System with Arrhenius Kinetics: Peculiarities of the Spherical Geometry
• Reactive-Diffuse Systems with Arrhenius Kinetics: Multiple Solutions, Ignition and Extinction

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