Temperature growth and temperature bounds in special cases of combustion models

DOI10.1080/00036819308840189zbMath0791.35062OpenAlexW1965990502WikidataQ58269279 ScholiaQ58269279MaRDI QIDQ4291834

Joel D. Avrin, Mukhtar Bin Muhammad Kirane

Publication date: 18 July 1994

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819308840189

zbMATH Keywords

integrability conditionreaction-diffusion equationsDirichlet boundary conditions for the mass fractionlinear growth boundsno- flux boundary conditions for the temperaturenon-boundedness of the temperatureone-step reaction model of combustionuniform temperature bounds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) A priori estimates in context of PDEs (35B45) Combustion (80A25)

Related Items

THE BLOW-UP AND THE QUENCHING SOLUTIONS OF POSITIVE SOLUTIONS OF SINGULAR BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR HEAT EQUATIONS ⋮ Boundedness for a system of reaction‐diffusion equations 1 ⋮ Uniform boundedness and decay estimates for a system of reaction-diffusion equations with a triangular diffusion matrix on \(\mathbb R^n\) ⋮ On systems of reaction-diffusion equations with a balance law: the sequel ⋮ Generalized result with a unified proof of global existence to a class of reaction‐diffusion systems

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