An optimal control problem in a tubular thin domain with rough boundary

DOI10.1016/j.jde.2021.12.021zbMath1483.35015OpenAlexW4206438741MaRDI QIDQ2074424

Jean C. Nakasato, Marcone Corrêa Pereira

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.12.021

zbMATH Keywords

homogenizationthin domainreaction-diffusion equationRobin boundary conditionoscillating boundary

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary ⋮ Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries ⋮ Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients ⋮ A reiterated homogenization problem for the \(p\)-Laplacian equation in corrugated thin domains

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