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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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On a classical solvability of a Florin problem |
| spellingShingle |
On a classical solvability of a Florin problem Bizhanova, G.I. |
| title_short |
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_sort |
on a classical solvability of a florin problem |
| author |
Bizhanova, G.I. |
| author_facet |
Bizhanova, G.I. |
| publishDate |
2008 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/124294 |
| 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. |
| work_keys_str_mv |
AT bizhanovagi onaclassicalsolvabilityofaflorinproblem |
| first_indexed |
2025-11-30T20:52:00Z |
| last_indexed |
2025-11-30T20:52:00Z |
| _version_ |
1850858504892448768 |