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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| Дата: | 2005 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-124606 |
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irk-123456789-1246062017-09-30T03:04:08Z 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. 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. 2005 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/124606 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
De Maio, U. Mel'nyk, T.A. |
| spellingShingle |
De Maio, U. Mel'nyk, T.A. Asymptotic Solution to a Mixed Boundary-Value Problem in a Thick Multi-Structure of Type 3:2:2 Український математичний вісник |
| author_facet |
De Maio, U. Mel'nyk, T.A. |
| author_sort |
De Maio, U. |
| title |
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_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_sort |
asymptotic solution to a mixed boundary-value problem in a thick multi-structure of type 3:2:2 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124606 |
| 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. |
| series |
Український математичний вісник |
| work_keys_str_mv |
AT demaiou asymptoticsolutiontoamixedboundaryvalueprobleminathickmultistructureoftype322 AT melnykta asymptoticsolutiontoamixedboundaryvalueprobleminathickmultistructureoftype322 |
| first_indexed |
2023-10-18T20:46:45Z |
| last_indexed |
2023-10-18T20:46:45Z |
| _version_ |
1796151086478786560 |