The Interfaces of an Inhomogeneous Porous Medium Equation with Convection

DOI10.1080/03605300500481343zbMath1100.35057OpenAlexW2008333815MaRDI QIDQ5478759

Arturo de Pablo, Ariel Sánchez, Guillermo Reyes, Raúl Ferreira

Publication date: 13 July 2006

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300500481343

zbMATH Keywords

blowupleft and right interfaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

• Properties of solutions of an equation in the theory of infiltration
• Disappearance of interfaces in finite time
• Basic theory for a diffusion-absorption equation in an inhomogeneous medium
• Propagation of thermal waves in an inhomogeneous medium
• Non-linear diffusion in a finite mass medium
• Singular Limit of Solutions of u t = Δu m - A ⋅∇(u q /q) as q →∞