Homogenization of a boundary value problem in a thick cascade junction

DOI10.1007/s10958-008-9153-9zbMath1202.35021OpenAlexW2077229696MaRDI QIDQ613729

T. A. Mel'nik, Gregory A. Chechkin

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/s10958-008-9153-9

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (7)

On new types of vibrations of thick cascade junctions with concentrated masses ⋮ Averaging in cascade junctions with a ``wide transmission domain ⋮ Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure ⋮ Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction ⋮ On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary ⋮ Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone ⋮ Spatial-skin effect for eigenvibrations of a thick cascade junction with ‘heavy’ concentrated masses

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