Asymptotic approximation for the solution of a boundary-value problem with varying type of boundary conditions in a thick two-level junction
β Scribed by T. Durante; T. A. Mel'nyk; P. S. Vashchuk
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 404 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1536-0059
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## Abstract We consider a boundaryβvalue problem for the Poisson equation in a thick junction Ξ©~Ξ΅~, which is the union of a domain Ξ©~0~ and a large number of Ξ΅βperiodically situated thin curvilinear cylinders. The following nonlinear Robin boundary condition β~Ξ½~__u__~Ξ΅~ + Ρκ(__u__~Ξ΅~)=0 is given o
We consider a mixed boundary-value problem for the Poisson equation in a thick junction X e which is the union of a domain X 0 and a large number of e-periodically situated thin cylinders. The non-uniform Signorini conditions are given on the lateral surfaces of the cylinders. The asymptotic analysi