Classical solution for a nonlinear hybrid system modeling combustion in a multilayer porous medium

DOI10.1016/j.nonrwa.2021.103406zbMath1479.35519OpenAlexW3193285629MaRDI QIDQ2061566

Yanyan Li

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103406

zbMATH Keywords

maximal solutionone space dimensionZorn's lemmaODE-PDE systemreaction-diffusion-convection systemSchauder's fixed-pointmultilayer porous medium

Mathematics Subject Classification ID

Combustion (80A25) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Combustion fronts in a porous medium with two layers
• The Cauchy problem for a combustion model in a porous medium with two layers
• Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media
• QUASI-LINEAR SECOND-ORDER PARABOLIC EQUATIONS WITH MANY INDEPENDENT VARIABLES

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