Nonlinear ``double porosity type model

DOI10.1016/S1631-073X(02)02269-0zbMath1016.76087MaRDI QIDQ1600131

Leonid S. Pankratov, Andrey L. Piatnitski

Publication date: 20 August 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

microstructurevariational problemnon-Newtonian flowshigh contrast medianonlinear double porosity model

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (4)

Homogenization in Sobolev spaces with nonstandard growth: brief review of methods and applications ⋮ Γ_D‐convergence for a class of quasilinear elliptic equations in thin structures ⋮ On the homogenization of some linear problems in domains weakly connected by a system of traps ⋮ Nonlinear flow through double porosity media in variable exponent Sobolev spaces

Cites Work

• Homogenization of reticulated structures
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Linear and quasilinear elliptic equations
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• An extension theorem from connected sets, and homogenization in general periodic domains
• Modèle de double porosité aléatoire
• Un modèle général de double porosité
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