Applications of periodic unfolding on manifolds

DOI10.1080/00036811.2017.1341974zbMath1391.35034arXiv1306.2218OpenAlexW1534862930MaRDI QIDQ4638880

Sören Dobberschütz

Publication date: 2 May 2018

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

Full work available at URL: https://arxiv.org/abs/1306.2218

zbMATH Keywords

Riemannian manifoldsequivalence relation of atlases

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Elliptic equations on manifolds, general theory (58J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• A convergence result for the periodic unfolding method related to fast diffusion on manifolds
• Non-homogeneous media and vibration theory
• Periodic unfolding and homogenization
• Sobolev spaces on Riemannian manifolds
• Hodge decomposition. A method for solving boundary value problems
• A periodic unfolding operator on certain compact Riemannian manifolds
• Homogenisation in domains with evolving microstructure
• The periodic unfolding method in perforated domains
• 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
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• The Periodic Unfolding Method in Homogenization
• The construction of periodic unfolding operators on some compact Riemannian manifolds