Approximate transmission conditions through a rough thin layer: The case of periodic roughness

DOI10.1017/S095679250999012XzbMath1184.35031OpenAlexW2141747698MaRDI QIDQ3400083

Ionel Sorin Ciuperca, Mohammed Jai, Clair Poignard

Publication date: 5 February 2010

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s095679250999012x

zbMATH Keywords

two space dimensionsapproximate transmission conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (12)

Boundary layer correctors and generalized polarization tensor for periodic rough thin layers. A review for the conductivity problem ⋮ Scattering by a highly oscillating surface ⋮ On the homogenization of the Helmholtz problem with thin perforated walls of finite length ⋮ Electromagnetic model of a hidden object ⋮ Two-scale analysis for very rough thin layers. An explicit characterization of the polarization tensor ⋮ Effective Helmholtz problem in a domain with a Neumann sieve perforation ⋮ Approximate models for wave propagation across thin periodic interfaces ⋮ REINFORCEMENT OF THE POISSON EQUATION BY A THIN LAYER ⋮ Approximate transmission conditions through a weakly oscillating thin layer ⋮ Explicit characterization of the polarization tensor for rough thin layers ⋮ On the homogenization of thin perforated walls of finite length ⋮ High‐order asymptotics for the electromagnetic scattering by thin periodic layers

Cites Work

• The best Sobolev trace constant in a domain with oscillating boundary
• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Diffraction at a curved grating: TM and TE cases, homogenization
• Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed
• Wall laws for fluid flows at a boundary with random roughness
• Approximate transmission conditions through a weakly oscillating thin layer
• Boundary layer tails in periodic homogenization

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