This article is cited in 12 scientific papers (total in 12 papers)
Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
T. A. Mel'nika, G. A. Chechkinbc
a National Taras Shevchenko University of Kyiv, The Faculty of Mechanics and Mathematics
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c Narvik University College
We consider homogenization problems in a singularly perturbed three-dimensional domain of multi-level-junction type which consists of the junction body and a large number of alternating thin curvilinear
cylinders that belong to two classes. Under the assumption that one class consists of cylinders of finite height, and the second class of cylinders of infinitesimal height, and that different inhomogeneous
boundary conditions of the third kind with perturbed coefficients are given on the boundaries of the thin curvilinear cylinders, we prove the homogenization theorems and the convergence of the energy integrals.
Bibliography: 42 titles.
homogenization, thick junctions, asymptotics.
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Sbornik: Mathematics, 2009, 200:3, 357–383
MSC: Primary 35B40; Secondary 35B25, 35B27, 35J25
Received: 18.12.2007 and 02.07.2008
T. A. Mel'nik, G. A. Chechkin, “Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions”, Mat. Sb., 200:3 (2009), 49–74; Sb. Math., 200:3 (2009), 357–383
Citation in format AMSBIB
\by T.~A.~Mel'nik, G.~A.~Chechkin
\paper Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
\jour Mat. Sb.
\jour Sb. Math.
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T. P. Chechkina, “Convergence of solutions of a boundary-value problem in a thick cascade junction with oscillating boundary of the transmission zone in the case of Neumann conditions at the boundary”, Russian Math. Surveys, 65:5 (2010), 982–983
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