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Homogenization of elliptic problems with alternating boundary conditions in a thick two-level junction of type 3:2:2

✍ Scribed by T. A. Mel’nik; D. Yu. Sadovyi


Publisher
Springer US
Year
2010
Tongue
English
Weight
305 KB
Volume
165
Category
Article
ISSN
1573-8795

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✍ Taras A. Mel'nyk 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 217 KB

## Abstract We consider a boundary‐value problem for the Poisson equation in a thick junction Ω~ε~, which is the union of a domain Ω~0~ and a large number of ε‐periodically situated thin curvilinear cylinders. The following nonlinear Robin boundary condition ∂~ν~__u__~ε~ + εκ(__u__~ε~)=0 is given o

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Convergence theorems and asymptotic estimates (as P0) are proved for eigenvalues and eigenfunctions of a mixed boundary value problem for the Laplace operator in a junction C of a domain and a large number N of -periodically situated thin cylinders with thickness of order "O(N\). We construct an ext