Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2
The leading terms of the asymptotic expansion for the solution to a mixed boundary value problem for the Poisson equation in a thick multi-structure, which is the union of some domain and a large number N of ε-periodically situated thin annular disks with variable thickness of order ε = O(N⁻¹), are...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124606 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 / U. De Maio, T.A. Mel'nyk // Український математичний вісник. — 2005. — Т. 2, № 4. — С. 463-481. — Бібліогр.: 34 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862580190293524480 |
|---|---|
| author | De Maio, U. Mel'nyk, T.A. |
| author_facet | De Maio, U. Mel'nyk, T.A. |
| citation_txt | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 / U. De Maio, T.A. Mel'nyk // Український математичний вісник. — 2005. — Т. 2, № 4. — С. 463-481. — Бібліогр.: 34 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | The leading terms of the asymptotic expansion for the solution to a mixed boundary value problem for the Poisson equation in a thick multi-structure, which is the union of some domain and a large number N of ε-periodically situated thin annular disks with variable thickness of order ε = O(N⁻¹), are constructed and the corresponding estimates in the Sobolev space H¹ are proved as ε → 0.
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| first_indexed | 2025-11-26T19:07:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124606 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-26T19:07:43Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | De Maio, U. Mel'nyk, T.A. 2017-09-29T16:50:37Z 2017-09-29T16:50:37Z 2005 Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 / U. De Maio, T.A. Mel'nyk // Український математичний вісник. — 2005. — Т. 2, № 4. — С. 463-481. — Бібліогр.: 34 назв. — англ. 1810-3200 2000 MSC. 35B27, 3540, 35J25, 35C20, 35B25. https://nasplib.isofts.kiev.ua/handle/123456789/124606 The leading terms of the asymptotic expansion for the solution to a mixed boundary value problem for the Poisson equation in a thick multi-structure, which is the union of some domain and a large number N of ε-periodically situated thin annular disks with variable thickness of order ε = O(N⁻¹), are constructed and the corresponding estimates in the Sobolev space H¹ are proved as ε → 0. en Інститут прикладної математики і механіки НАН України Український математичний вісник Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 Article published earlier |
| spellingShingle | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 De Maio, U. Mel'nyk, T.A. |
| title | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 |
| title_full | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 |
| title_fullStr | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 |
| title_full_unstemmed | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 |
| title_short | Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 |
| title_sort | asymptotic solution to a mixed boundary-value problem in a thick multi-structure of type 3:2:2 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124606 |
| work_keys_str_mv | AT demaiou asymptoticsolutiontoamixedboundaryvalueprobleminathickmultistructureoftype322 AT melnykta asymptoticsolutiontoamixedboundaryvalueprobleminathickmultistructureoftype322 |