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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📜 SIMILAR VOLUMES
## 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
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