The porous medium equation with nonlinear absorption and moving boundaries

DOI10.1007/BF02764879zbMath0611.35047OpenAlexW2034141830MaRDI QIDQ1087732

Robert H. jun. Martin, Semion Gutman

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764879

zbMATH Keywords

generalized solutionsexistenceasymptotic behaviorporous mediumdifferentiability propertiesapproximationsnonlinear semigroupsmoving boundariesnonlinear absorptionDirichletNeumannCrandall-Ligett theorem

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05)

Related Items (2)

On the initial growth of interfaces in reaction–diffusion equations with strong absorption ⋮ Porous medium systems with slow and fast reactions

Cites Work

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• A critical case for the solvability of stefan-like problems
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Regularity Propeties of Flows Through Porous Media
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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