On the existence of high Lewis number combustion fronts

DOI10.1016/j.matcom.2010.04.023zbMath1245.80008OpenAlexW2010578091MaRDI QIDQ435827

Anna Ghazaryan, Christopher K. R. T. Jones

Publication date: 12 July 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.04.023

zbMATH Keywords

geometric singular perturbation theorycombustion frontsignition cut-off

Mathematics Subject Classification ID

Combustion (80A25) Chemically reacting flows (80A32) Traveling wave solutions (35C07)

Related Items (1)

Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order

Cites Work

• Stability of gasless combustion fronts in one-dimensional solids
• On the stability of high Lewis number combustion fronts
• Geometric singular perturbation theory for ordinary differential equations
• Traveling waves in porous media combustion: uniqueness of waves for small thermal diffusivity
• The Existence of Travelling Wave Solutions of a Generalized Phase-Field Model
• Linear Stability of a Plane Front in Solid Combustion at Large Heat of Reaction
• High Lewis Number Combustion Wavefronts: A Perturbative Melnikov Analysis
• Nonlinear stability of high Lewis number combustion fronts
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• Qualitative properties of a nonlinear system for laminar flames without ignition temperature
• Combustion waves for gases ( Le = 1) and solids ( Le →∞)
• Phase plane analysis of one-dimensional reaction diffusion waves with degenerate reaction terms
• Mathematical analysis of a condensed phase combustion model without ignition temperature
• Theory of Laminar Flames
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