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An application of the monotone iterative method to a combustion problem in porous media

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Publication:619743
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DOI10.1016/j.nonrwa.2010.09.012zbMath1223.35192OpenAlexW2034986928MaRDI QIDQ619743

Jesus C. Da Mota, Martins Marcelo Dos Santos

Publication date: 18 January 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.09.012


zbMATH Keywords

upper-lower solutionsreaction-diffusion-convection system


Mathematics Subject Classification ID

Combustion (80A25) Initial value problems for second-order parabolic systems (35K45) Semilinear parabolic equations (35K58)


Related Items (4)

Combustion waves and Riemann solutions in light porous foam ⋮ Numerical simulations of traveling waves in a counterflow filtration combustion model ⋮ 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



Cites Work

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  • Combustion fronts in a porous medium with two layers
  • Parabolic systems in unbounded domains. I: Existence and dynamics


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