Gelfand-type problem for two-phase porous media

DOI10.1098/rspa.2013.0573zbMath1348.35095arXiv1308.5577OpenAlexW2068958898WikidataQ51103564 ScholiaQ51103564MaRDI QIDQ2830142

Vitaly Moroz, Peter V. Gordon

Publication date: 9 November 2016

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5577

zbMATH Keywords

reaction-diffusion systemsblow-upsingular limitsthermal explosionGelfand problemporous media combustion

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Combustion (80A25) Blow-up in context of PDEs (35B44)

Related Items

Regularity of stable solutions to reaction-diffusion elliptic equations, An Elementary Model for Autoignition of Free Round Turbulent Jets

Cites Work

• Strong positivity in \(C(\bar\Omega)\) for elliptic systems
• The problem of blow-up in nonlinear parabolic equations
• On thermal explosion in porous media
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• Influence of pressure-driven gas permeation on the quasi-steady burning of porous energetic materials
• Some problems in the theory of quasilinear equations