Multiple Traveling Waves for Dry Forward Combustion Through a Porous Medium

DOI10.1137/16M1105293zbMath1391.35099MaRDI QIDQ4610180

Jesus C. Da Mota, Aparecido J. de Souza

Publication date: 6 April 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

reaction-diffusion-convection equationsmultiple solutionsgeometric singular perturbation theory

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Combustion (80A25) Traveling wave solutions (35C07)

Related Items (1)

Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media

Cites Work

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• Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders
• Bifurcation of a homoclinic orbit with a saddle-node equilibrium
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• Oxidation heat pulses in two-phase expansive flow in porous media
• Traveling waves in porous media combustion: uniqueness of waves for small thermal diffusivity
• Recent Mathematical Results on Combustion in Hydraulically Resistant Porous Media
• Gasless Combustion Fronts with Heat Loss
• Combustion Fronts in Porous Media
• The Saddle-Node Separatrix-Loop Bifurcation
• Front Propagation in Heterogeneous Media

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