Асимптотический анализ краевых задач в густых каскадных соединениях
We consider the homogenization problem in a singularly perturbed two-dimensional domain of a new type, which consists of a body of junction and a great number of alternating thin rods belonging to two classes. Under the assumption that one class consists of rods of finite length and the other consis...
Saved in:
| Date: | 2008 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2008
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/5818 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Асимптотический анализ краевых задач в густых каскадных соединениях / Т.А. Мельник, Г.А. Чечкин // Доп. НАН України. — 2008. — № 9. — С. 16-22. — Бібліогр.: 9 назв. — рос. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We consider the homogenization problem in a singularly perturbed two-dimensional domain of a new type, which consists of a body of junction and a great number of alternating thin rods belonging to two classes. Under the assumption that one class consists of rods of finite length and the other consists of rods of small length and inhomogeneous Fourier boundary conditions (boundary conditions of the third type) with perturbed coefficients are set on the boundaries of thin rods, we prove the homogenization theorems and the convergence of the energy integrals.
|
|---|---|
| ISSN: | 1025-6415 |