Combustion fronts in a porous medium with two layers

DOI10.1007/s10884-006-9019-0zbMath1115.80004OpenAlexW2060655393MaRDI QIDQ852026

Stephen Schecter, Jesus C. Da Mota

Publication date: 27 November 2006

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-006-9019-0

zbMATH Keywords

travelling wavesgeometric singular perturbation theoryheteroclinicsreaction-diffusion-convection systemMelnikov integral

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Combustion (80A25) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (10)

Combustion waves and Riemann solutions in light porous foam ⋮ Numerical simulations of traveling waves in a counterflow filtration combustion model ⋮ An application of the monotone iterative method to a combustion problem in porous media ⋮ Multiple Traveling Waves for Dry Forward Combustion Through a Porous Medium ⋮ Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media ⋮ The Cauchy problem for a combustion model in a porous medium with two layers ⋮ Stability of gasless combustion fronts in one-dimensional solids ⋮ Riemann solutions for counterflow combustion in light porous foam ⋮ Classical solution for a nonlinear hybrid system modeling combustion in a multilayer porous medium ⋮ Stability of interacting traveling waves in reaction-convection-diffusion systems

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