Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
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Publication:5322960
DOI10.1070/SM2009v200n03ABEH004000zbMath1184.35035OpenAlexW1994225259MaRDI QIDQ5322960
T. A. Mel'nik, Gregory A. Chechkin
Publication date: 23 July 2009
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2009v200n03abeh004000
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Structured surfaces and interfaces, coexistent phases (74A50) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses ⋮ Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1 ⋮ On new types of vibrations of thick cascade junctions with concentrated masses ⋮ Averaging in cascade junctions with a ``wide transmission domain ⋮ On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary ⋮ Convergence rates in homogenization of the mixed boundary value problems ⋮ Homogenization of nonlinear equations with mixed boundary conditions ⋮ Spatial-skin effect for eigenvibrations of a thick cascade junction with ‘heavy’ concentrated masses
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