Well-posedness for a quasilinear generalization of the matched microstructure model

DOI10.1016/j.nonrwa.2012.03.007zbMath1258.35125arXiv1201.2816OpenAlexW2963958176MaRDI QIDQ1926231

Daniela Treutler

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2816

zbMATH Keywords

well-posednessmaximal regularityquasilinear systemdouble porositytwo-scale modelstrong Sobolev setting

Mathematics Subject Classification ID

Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Large‐time behavior of a two‐scale semilinear reaction–diffusion system for concrete sulfatation

Cites Work

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• Derivation of microstructure models of fluid flow by homogenization
• Homogenization and porous media
• Homogenisation of a locally periodic medium with areas of low and high diffusivity
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Diffusion of Fluid in a Fissured Medium with Microstructure
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type

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