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Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction

✍ Scribed by T. A. Mel’nik; P. S. Vashchuk


Book ID
110158173
Publisher
Springer
Year
2007
Tongue
English
Weight
372 KB
Volume
43
Category
Article
ISSN
0012-2661

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📜 SIMILAR VOLUMES


Homogenization of a boundary-value probl
✍ 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

Homogenization of the Signorini boundary
✍ T. A. Mel'nyk; Iu. A. Nakvasiuk; W. L. Wendland 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB 👁 1 views

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