Thin domains with doubly oscillatory boundary
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Publication:2870720
DOI10.1002/mma.2875zbMath1282.35032arXiv1302.5643OpenAlexW2158266222MaRDI QIDQ2870720
José M. Arrieta, Manuel Villanueva-Pesqueira
Publication date: 21 January 2014
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.5643
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (13)
Thin domains with non-smooth periodic oscillatory boundaries ⋮ Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization ⋮ Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary ⋮ On the spectral instability for weak intermediate triharmonic problems ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Locally periodic thin domains with varying period ⋮ Homogenization of an evolution problem with \( L\log L\) data in a domain with oscillating boundary ⋮ Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains ⋮ Homogenization of the brush problem with a source term in \(L^{1}\) ⋮ Locally periodic unfolding operator for highly oscillating rough domains ⋮ Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary ⋮ Existence and Homogenization for a Singular Problem Through Rough Surfaces ⋮ Parabolic problems in highly oscillating thin domains
Cites Work
- Asymptotic analysis of boundary-value problems in thin perforated domains with rapidly varying thickness
- The Neumann problem in thin domains with very highly oscillatory boundaries
- Semilinear parabolic problems in thin domains with a highly oscillatory boundary
- Homogenization in a thin domain with an oscillatory boundary
- Non-homogeneous media and vibration theory
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
- A note on the 3D–2D dimensional reduction of a micromagnetic thin film with nonhomogeneous profile
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