Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles

DOI10.1007/s10958-009-9431-1zbMath1207.35045OpenAlexW1996788122MaRDI QIDQ613680

T. A. Mel'nik, Gregory A. Chechkin, Tatiana P. Chechkina

Publication date: 21 December 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9431-1

zbMATH Keywords

transmission conditions2D domain

Mathematics Subject Classification ID

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

Related Items (4)

Homogenized equations of the linear elasticity in two-dimensional domains with very rough interfaces ⋮ Averaging in cascade junctions with a ``wide transmission domain ⋮ Homogenization of elliptic problems with alternating boundary conditions in a thick two-level junction of type 3:2:2 ⋮ Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction

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