Homogenization of elliptic problems with alternating boundary conditions in a thick two-level junction of type 3:2:2 |
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Authors: | T A Mel’nik D Yu Sadovyi |
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Institution: | 1.National Taras Shevchenko University of Kyiv,Kyiv,Ukraine |
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Abstract: | The asymptotic behavior of solutions to boundary value problems for the Poisson equation is studied in a thick two-level junction
of type 3:2:2 with alternating boundary conditions. The thick junction consists of a cylinder with ε-periodically stringed
thin disks of variable thickness. The disks are divided into two classes depending on their geometric structure and boundary
conditions. We consider problems with alternating Dirichlet and Neumann boundary conditions and also problems with different
alternating Fourier (Neumann) conditions. We study the influence of the boundary conditions on the asymptotic behavior of
solutions as ε → 0. Convergence theorems, in particular, convergence of energy integrals, are proved. Bibliography: 31 titles.
Illustrations: 1 figure. |
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Keywords: | |
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