A moving boundary problem modelling diffusion with nonlinear absorption

DOI10.1016/0022-0396(84)90111-6zbMath0534.35059OpenAlexW1522798306MaRDI QIDQ790355

D. Michael Lyons, Robert H. jun. Martin

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90111-6

zbMATH Keywords

diffusionexistencecontinuitymoving boundary problemnonlinear absorptionabsorbing tissues

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05)

Related Items (3)

The porous medium equation with nonlinear absorption and moving boundaries ⋮ Moving boundaries in reaction-diffusion systems with absorption ⋮ Classical solvability of one-dimensional, free boundary, Florin, Muskat-Verigin, and Stefan problems

Cites Work

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• Nonlinear evolution equations - global behavior of solutions
• One-Dimensional Parabolic Free Boundary Problems
• A Free Boundary Problem as Diffusion with Non-linear Absorption
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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