Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures

DOI10.1137/140978405zbMath1332.35032arXiv1407.3821OpenAlexW2108016864MaRDI QIDQ3459647

Mariya Ptashnyk

Publication date: 11 January 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3821

zbMATH Keywords

locally periodic homogenizationnonhomogeneous Neumann conditionssignalling processesnonperiodic microstructures

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (11)

Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells ⋮ Homogenization of large deforming fluid-saturated porous structures ⋮ Space-time homogenization for nonlinear diffusion ⋮ Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems ⋮ The impact of microfibril orientations on the biomechanics of plant cell walls and tissues ⋮ Stochastic Unfolding and Homogenization of Spring Network Models ⋮ Locally periodic unfolding operator for highly oscillating rough domains ⋮ On the homogenization of a new class of locally periodic microstructures in linear elasticity with residual stress ⋮ Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary ⋮ Colloidal Transport in Locally Periodic Evolving Porous Media---An Upscaling Exercise ⋮ Homogenization of a locally periodic time-dependent domain

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