The Stefan problem
The Stefan problem in its classical statement is a mathematical model of the process of propagation of heat in a medium with di erent phase states, e.g., in a medium with liquid and solid phases.The process of propagation of heat in each phase is described by the parabolic equations. In this work we...
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| Date: | 2008 |
|---|---|
| ISSN: | 0236-0497 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124263 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Stefan problem / M.A. Borodin // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 218-229. — Бібліогр.: 2 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722491741372416 |
|---|---|
| author | Borodin, M.A. |
| author_facet | Borodin, M.A. |
| citation_txt | The Stefan problem / M.A. Borodin // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 218-229. — Бібліогр.: 2 назв. — англ. |
| collection | DSpace DC |
| description | The Stefan problem in its classical statement is a mathematical model of the process of propagation of heat in a medium with di erent phase states, e.g., in a medium with liquid and solid phases.The process of propagation of heat in each phase is described by the parabolic equations. In this work we prove the existence of the global classical solution in a two-phase multidimensional Stefan problem. We apply a method which consists of the following. First, we construct approximating problems, then we prove some uniform estimates and pass to the limit.
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| first_indexed | 2025-12-07T18:35:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124263 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-07T18:35:56Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Borodin, M.A. 2017-09-23T09:45:02Z 2017-09-23T09:45:02Z 2008 The Stefan problem / M.A. Borodin // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 218-229. — Бібліогр.: 2 назв. — англ. 0236-0497 MSC (2000): 35R35 https://nasplib.isofts.kiev.ua/handle/123456789/124263 The Stefan problem in its classical statement is a mathematical model of the process of propagation of heat in a medium with di erent phase states, e.g., in a medium with liquid and solid phases.The process of propagation of heat in each phase is described by the parabolic equations. In this work we prove the existence of the global classical solution in a two-phase multidimensional Stefan problem. We apply a method which consists of the following. First, we construct approximating problems, then we prove some uniform estimates and pass to the limit. en Інститут прикладної математики і механіки НАН України The Stefan problem Article published earlier |
| spellingShingle | The Stefan problem Borodin, M.A. |
| title | The Stefan problem |
| title_full | The Stefan problem |
| title_fullStr | The Stefan problem |
| title_full_unstemmed | The Stefan problem |
| title_short | The Stefan problem |
| title_sort | stefan problem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124263 |
| work_keys_str_mv | AT borodinma thestefanproblem AT borodinma stefanproblem |