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...
Збережено в:
| Дата: | 2008 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
|
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124263 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Stefan problem / M.A. Borodin // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 218-229. — Бібліогр.: 2 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-124263 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1242632017-09-24T03:03:04Z The Stefan problem Borodin, M.A. 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. 2008 Article The Stefan problem / M.A. Borodin // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 218-229. — Бібліогр.: 2 назв. — англ. 0236-0497 MSC (2000): 35R35 http://dspace.nbuv.gov.ua/handle/123456789/124263 en 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 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. |
| format |
Article |
| author |
Borodin, M.A. |
| spellingShingle |
Borodin, M.A. The Stefan problem |
| author_facet |
Borodin, M.A. |
| author_sort |
Borodin, M.A. |
| title |
The Stefan problem |
| title_short |
The Stefan problem |
| title_full |
The Stefan problem |
| title_fullStr |
The Stefan problem |
| title_full_unstemmed |
The Stefan problem |
| title_sort |
stefan problem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124263 |
| citation_txt |
The Stefan problem / M.A. Borodin // Нелинейные граничные задачи. — 2008. — Т. 18. — С. 218-229. — Бібліогр.: 2 назв. — англ. |
| work_keys_str_mv |
AT borodinma thestefanproblem AT borodinma stefanproblem |
| first_indexed |
2023-10-18T20:46:02Z |
| last_indexed |
2023-10-18T20:46:02Z |
| _version_ |
1796151055587737600 |