Asymptotics of solutions to the Poisson problem in a perforated domain with corners

DOI10.1016/S0021-7824(97)89977-1zbMath0906.35011OpenAlexW2013757395WikidataQ126864052 ScholiaQ126864052MaRDI QIDQ1385307

D. Massart

Publication date: 26 April 1998

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(97)89977-1

zbMATH Keywords

periodic structure

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (10)

Asymptotic analysis of a semi-linear elliptic system in perforated domains: well-posedness and correctors for the homogenization limit ⋮ Asymptotic analysis of perforated shallow shells ⋮ On the rate of convergence for perforated plates with a small interior Dirichlet zone ⋮ Acoustic waveguide with a dissipative inclusion ⋮ Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization ⋮ Neumann problem in angular regions with periodic and parabolic perturbations of the boundary ⋮ The boundary behavior of a composite material ⋮ The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary ⋮ High Order Homogenization of the Stokes System in a Periodic Porous Medium ⋮ A criterion for the existence of the essential spectrum for beak-shaped elastic bodies

Cites Work

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• Asymptotic expansions in perforated media with a periodic structure
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotics at infinity of the solution to the Dirichlet problem for a system of equations with periodic coefficients in an angular domain
• On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
• ON THE BEHAVIOR AT INFINITY OF SOLUTIONS OF SECOND ORDER ELLIPTIC EQUATIONS IN DOMAINS WITH NONCOMPACT BOUNDARY
• ASYMPTOTICS OF THE SOLUTION OF THE DIRICHLET PROBLEM FOR AN EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A RECTANGLE

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