Singular Double Porosity Model

DOI10.1080/0003681031000063739zbMath1290.35195OpenAlexW2053811292WikidataQ58269403 ScholiaQ58269403MaRDI QIDQ4435615

Andrey L. Piatnitski, Gregory A. Chechkin, Alain Bourgeat

Publication date: 17 November 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681031000063739

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (10)

Vibrating systems with rigid light-weight inclusions: asymptotics of the spectrum and eigenspaces ⋮ Some remarks on the homogenization of immiscible incompressible two-phase flow in double porosity media ⋮ Some remarks on simplified double porosity model of immiscible incompressible two-phase flow ⋮ Modeling large-deformation-induced microflow in soft biological tissues ⋮ Homogenization of Kondaurov’s non-equilibrium two-phase flow in double porosity media ⋮ HOMOGENIZATION OF A SINGLE PHASE FLOW THROUGH A POROUS MEDIUM IN A THIN LAYER ⋮ Homogenization and dimension reduction of filtration combustion in heterogeneous thin layers ⋮ Nonlinear flow through double porosity media in variable exponent Sobolev spaces ⋮ On the homogenization of some double-porosity models with periodic thin structures ⋮ Large‐time behavior of a two‐scale semilinear reaction–diffusion system for concrete sulfatation

Cites Work

• On a homogenization technique for variational problems
• Homogenization of Thin Structures by Two-Scale Method with Respect to Measures
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Modèle de double porosité aléatoire
• Weighted Sobolev spaces
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow

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