On a classical solvability of a Florin problem
There is considered the multidimensional two-phase Stefan problem with a small parameter k at the velocity of a free boundary in a Stefan condition. The unique solvability and coercive uniform with respect to k estimate of the solution for t ≤ T₀, T₀ - independent on k, are proved and on the basis o...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2008 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124294 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On a classical solvability of a Florin problem / G.I. Bizhanova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 16-31. — Бібліогр.: 21 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862636287751618560 |
|---|---|
| author | Bizhanova, G.I. |
| author_facet | Bizhanova, G.I. |
| citation_txt | On a classical solvability of a Florin problem / G.I. Bizhanova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 16-31. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | There is considered the multidimensional two-phase Stefan problem with a small parameter k at the velocity of a free boundary in a Stefan condition. The unique solvability and coercive uniform with respect to k estimate of the solution for t ≤ T₀, T₀ - independent on k, are proved and on the basis of this the existence, uniqueness and estimate of the solution of a Florin problem (Stefan problem with k = 0) are obtained in the Holder spaces.
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| first_indexed | 2025-11-30T20:52:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124294 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-11-30T20:52:00Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bizhanova, G.I. 2017-09-23T16:46:18Z 2017-09-23T16:46:18Z 2008 On a classical solvability of a Florin problem / G.I. Bizhanova // Український математичний вісник. — 2008. — Т. 5, № 1. — С. 16-31. — Бібліогр.: 21 назв. — англ. 1810-3200 2000 MSC. 35R35, 35B25, 35K60 https://nasplib.isofts.kiev.ua/handle/123456789/124294 There is considered the multidimensional two-phase Stefan problem with a small parameter k at the velocity of a free boundary in a Stefan condition. The unique solvability and coercive uniform with respect to k estimate of the solution for t ≤ T₀, T₀ - independent on k, are proved and on the basis of this the existence, uniqueness and estimate of the solution of a Florin problem (Stefan problem with k = 0) are obtained in the Holder spaces. en Інститут прикладної математики і механіки НАН України Український математичний вісник On a classical solvability of a Florin problem Article published earlier |
| spellingShingle | On a classical solvability of a Florin problem Bizhanova, G.I. |
| title | On a classical solvability of a Florin problem |
| title_full | On a classical solvability of a Florin problem |
| title_fullStr | On a classical solvability of a Florin problem |
| title_full_unstemmed | On a classical solvability of a Florin problem |
| title_short | On a classical solvability of a Florin problem |
| title_sort | on a classical solvability of a florin problem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124294 |
| work_keys_str_mv | AT bizhanovagi onaclassicalsolvabilityofaflorinproblem |