Diffusion in Fissured Media

DOI10.1137/0516036zbMath0613.76103OpenAlexW2051444057MaRDI QIDQ4721008

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Publication date: 1985

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0516036

zbMATH Keywords

diffusionmass conservationexistenceinitial-boundary value problemuniquenessheat conductionDarcy's lawStefan problemporous medium equationnonlinear evolution equationbounded domaincompressible fluidmass exchangeLipschitz continuous functionfissured porous mediummedium of porous blocksmonotone dependence resultspartial saturation states

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Initial value problems for nonlinear higher-order PDEs (35G25) Free boundary problems for PDEs (35R35) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Equations in function spaces; evolution equations (58D25)

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On inverse problems for pseudoparabolic and parabolic equations of filtration ⋮ Existence and properties of solutions of the extended play-type hysteresis model ⋮ An approximate scalar conservation law from dynamics of gas absorption ⋮ Diffusion models for fractured media ⋮ Micro-structure models of diffusion in fissured media ⋮ Poro-Visco-Elastic Compaction in Sedimentary Basins ⋮ A moving-boundary problem for concrete carbonation: Global existence and uniqueness of weak solutions ⋮ Homogenization of a pseudoparabolic system ⋮ On a moving-boundary system modeling corrosion in sewer pipes ⋮ The Inverse Problem for the Nonlinear Pseudoparabolic Equation of Filtration Type ⋮ Large‐time behavior of a two‐scale semilinear reaction–diffusion system for concrete sulfatation

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