Asymptotics of a spectral-sieve problem

DOI10.1016/j.jmaa.2015.11.014zbMath1332.35235OpenAlexW2198542660MaRDI QIDQ898882

Gregory A. Chechkin, Andrey L. Piatnitski, Olivier Bodart, Youcef Amirat

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.014

zbMATH Keywords

homogenizationSteklov spectral problemspectral-sieve problem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Spectral problem with Steklov condition on a thin perforated interface ⋮ Effective transmission conditions for reaction–diffusion processes in domains separated by thin channels ⋮ Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc ⋮ On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type ⋮ Uniform convergence and asymptotics for problems in domains finely perforated along a prescribed manifold in the case of the homogenized Dirichlet condition ⋮ Convergence rates in homogenization of the mixed boundary value problems ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity ⋮ Homogenization of nonlinear equations with mixed boundary conditions ⋮ Singular Limit for Reactive Diffusive Transport Through an Array of Thin Channels in case of Critical Diffusivity

Cites Work

• On the asymptotic behavior of a simple eigenvalue of a boundary value problem in a domain perforated along the boundary
• On the spectrum of the Steklov problem in a domain with a peak
• Étude d'un fluide traversant une paroi perforée. I: Comportement limite près de la paroi. (Study of a fluid crossing a perforated sieve. I: Limit behavior near the sieve)
• The thick Neumann's sieve
• Homogenization of eigenvalue problems in perforated domains
• On periodic Steklov type eigenvalue problems on half-bands and the spectral homogenization problem
• The periodic unfolding method for perforated domains and Neumann sieve models
• ASYMPTOTICS OF A SPECTRAL PROBLEM ASSOCIATED WITH THE NEUMANN SIEVE
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