Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1
We consider a mixed boundary-value problem for the Poisson equation in a two-level junction " which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the t...
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| Дата: | 2006 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106622 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 / T.A. Mel`nyk, P.S. Vashchuk // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 318-337. — Бібліогр.: 37 назв. — англ. |
Репозитарії
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irk-123456789-1066222016-10-06T00:24:50Z Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 Mel'nyk, T.A. Vashchuk, P.S. We consider a mixed boundary-value problem for the Poisson equation in a two-level junction " which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the thin cylinders from each level are ε-periodically alternated. The nonuniform Neumann conditions are given on the lateral sides of the thin cylinders from the rst level and the uniform Fourier conditions are given on the lateral sides of the thin cylinders from the second level. We study the asymptotic behavior of the solution as ε → 0: The convergence theorem and the convergence of the energy integral are proved. 2006 Article Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 / T.A. Mel`nyk, P.S. Vashchuk // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 318-337. — Бібліогр.: 37 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106622 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We consider a mixed boundary-value problem for the Poisson equation in a two-level junction
" which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the thin cylinders from each level are ε-periodically alternated. The nonuniform Neumann conditions are given on the lateral sides of the thin cylinders from the rst level and the uniform Fourier conditions are given on the lateral sides of the thin cylinders from the second level. We study the asymptotic behavior of the solution as ε → 0: The convergence theorem and the convergence of the energy integral are proved. |
| format |
Article |
| author |
Mel'nyk, T.A. Vashchuk, P.S. |
| spellingShingle |
Mel'nyk, T.A. Vashchuk, P.S. Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 Журнал математической физики, анализа, геометрии |
| author_facet |
Mel'nyk, T.A. Vashchuk, P.S. |
| author_sort |
Mel'nyk, T.A. |
| title |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_short |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_full |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_fullStr |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_full_unstemmed |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 |
| title_sort |
homogenization of the neumann-fourier problem in a thick two-level junction of type 3:2:1 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106622 |
| citation_txt |
Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 / T.A. Mel`nyk, P.S. Vashchuk // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 318-337. — Бібліогр.: 37 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT melnykta homogenizationoftheneumannfourierprobleminathicktwoleveljunctionoftype321 AT vashchukps homogenizationoftheneumannfourierprobleminathicktwoleveljunctionoftype321 |
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2023-10-18T20:13:21Z |
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2023-10-18T20:13:21Z |
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1796149294038777856 |