Behaviour at ±∞ for a model of laminar flames with applications to questions of flame propagation versus extinction

DOI10.1017/S0308210500027633zbMath0739.35032OpenAlexW2153109760MaRDI QIDQ3971465

Joel D. Avrin

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027633

zbMATH Keywords

decay resultpre-mixed reactive gasqualitative theory of Cauchy problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Qualitative theory for ordinary differential equations (34C99) Reaction effects in flows (76V05) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• Qualitative theory for a model of laminar flames with arbitrary nonnegative initial data
• Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• Qualitative properties of a nonlinear system for laminar flames without ignition temperature
• The Equations of One-Dimensional Unsteady Flame Propagation: Existence and Uniqueness

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