Approximate conditions and passage to the limit in Sobolev spaces over thin and composite structures

DOI10.1007/S10958-006-0026-9zbMath1097.35025OpenAlexW1974238481MaRDI QIDQ2488367

S. E. Pastukhova

Publication date: 23 May 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0026-9

zbMATH Keywords

HomogenizationComposite structuresTwo-scale convergence for measures

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Homogenisation of thin periodic frameworks with high-contrast inclusions

Cites Work

• Unnamed Item
• A note on Sobolev spaces
• Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness
• On approximate properties of Sobolev spaces of elasticity theory on thin rod structures
• Homogenization of elasticity problems on a periodic composite structure
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Weighted Sobolev spaces
• On an extension of the method of two-scale convergence and its applications
• Homogenization for elasticity problems on periodic networks of critical thickness
• Homogenization of elasticity problems on singular structures

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