Parabolic problems in highly oscillating thin domains

DOI10.1007/s10231-014-0421-7zbMath1321.35081arXiv1312.1131OpenAlexW2063419020MaRDI QIDQ2353836

Marcone Corrêa Pereira

Publication date: 9 July 2015

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1131

zbMATH Keywords

asymptotic behaviorsemilinear parabolic equationlinear semigroupthin domainextension operatorset of equilibriaupper semicontinuity of the attractor

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items

Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary ⋮ Thin domains with non-smooth periodic oscillatory boundaries ⋮ Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary ⋮ Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains ⋮ Remarks on the p-Laplacian on thin domains ⋮ An optimal control problem in a tubular thin domain with rough boundary ⋮ A classical approach for the \(p\)-Laplacian in oscillating thin domains

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