The Cauchy problem for a combustion model in a porous medium with two layers

DOI10.1007/s00605-017-1114-2zbMath1406.35150OpenAlexW2765544500MaRDI QIDQ1757407

Xianqiang Yang

Publication date: 4 January 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1114-2

zbMATH Keywords

reaction-diffusion systemauxiliary functionscombustion modelparametrix methoditerative monotone method

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Combustion (80A25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order parabolic systems (35K45)

Related Items (2)

Monotone iterative method of upper and lower solutions applied to a multilayer combustion model in porous media ⋮ Classical solution for a nonlinear hybrid system modeling combustion in a multilayer porous medium

Cites Work

• An application of the monotone iterative method to a combustion problem in porous media
• Global solutions of reaction-diffusion systems
• Combustion fronts in a porous medium with two layers
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• QUASI-LINEAR SECOND-ORDER PARABOLIC EQUATIONS WITH MANY INDEPENDENT VARIABLES
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