Homogenization of Boundary-Value Problem in a Locally Periodic Perforated Domain
From MaRDI portal
Publication:4487779
DOI10.1080/00036819908840714zbMath1030.35009OpenAlexW1989876982MaRDI QIDQ4487779
Andrey L. Piatnitski, Gregory A. Chechkin
Publication date: 25 June 2000
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036819908840714
Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (24)
Multiscale modelling and analysis of signalling processes in tissues with non-periodic distribution of cells ⋮ ``Strange term in homogenization of attractors of reaction-diffusion equation in perforated domain ⋮ Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures ⋮ On Homogenization of Nonlinear Robin Type Boundary Conditions for the n-Laplacian in n-Dimensional Perforated Domains ⋮ Spectral homogenization for a Robin-Neumann problem ⋮ Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure ⋮ Working session: Quantitative stochastic homogenization. Abstracts from the working session held October 16--22, 2022 ⋮ A multiscale method to calculate filter blockage ⋮ Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization ⋮ Space-time homogenization for nonlinear diffusion ⋮ Spectral Approach to Homogenization of Elliptic Operators in a Perforated Space ⋮ A semidiscrete Galerkin scheme for a coupled two-scale elliptic-parabolic system: well-posedness and convergence approximation rates ⋮ Homogenization in perforated domains beyond the periodic setting. ⋮ Well-posedness and inverse Robin estimate for a multiscale elliptic/parabolic system ⋮ Multiscale Models of Metallic Particles in Nematic Liquid Crystals ⋮ Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake ⋮ Homogenization of attractors of reaction-diffusion system with rapidly oscillating terms in an orthotropic porous medium ⋮ Homogenization of a reaction-diffusion system modeling sulfate corrosion of concrete in locally periodic perforated domains ⋮ On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit ⋮ 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 ⋮ Homogenisation of a locally periodic medium with areas of low and high diffusivity ⋮ Homogenization of a quasilinear elliptic problem in domains with small holes
Cites Work
This page was built for publication: Homogenization of Boundary-Value Problem in a Locally Periodic Perforated Domain
