On the global solvability of porous media type equations with space dependent advection flux

DOI10.1016/J.JMAA.2022.126850zbMath1503.35096OpenAlexW4308980415MaRDI QIDQ2102140

Nicolau M. L. Diehl, Lucineia Fabris, Paulo R. Zingano

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126850

zbMATH Keywords

Cauchy problemweak solutionsglobal solvabilitypointwise estimatesspatially dependent advection fluxporous medium type equations

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Cites Work

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• Degenerate parabolic equations
• Blowup in diffusion equations: A survey
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Decay estimates for solutions of porous medium equations with advection
• CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
• Applied Partial Differential Equations

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