Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem
A free boundary problem describing a filtration process in a porous medium is considered. An unknown interface divides the filtration domain into elliptic and parabolic regions. In the parabolic region the governing equation is degenerate. The existence of a smooth solution in the weighted Holder sp...
Збережено в:
| Дата: | 2011 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106687 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem / B.V. Bazaliy, S.P. Degtyarev // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 4. — С. 295-332. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106687 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1066872016-10-03T03:02:19Z Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem Bazaliy, B.V. Degtyarev, S.P. A free boundary problem describing a filtration process in a porous medium is considered. An unknown interface divides the filtration domain into elliptic and parabolic regions. In the parabolic region the governing equation is degenerate. The existence of a smooth solution in the weighted Holder space is proved. 2011 Article Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem / B.V. Bazaliy, S.P. Degtyarev // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 4. — С. 295-332. — Бібліогр.: 13 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106687 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A free boundary problem describing a filtration process in a porous medium is considered. An unknown interface divides the filtration domain into elliptic and parabolic regions. In the parabolic region the governing equation is degenerate. The existence of a smooth solution in the weighted Holder space is proved. |
| format |
Article |
| author |
Bazaliy, B.V. Degtyarev, S.P. |
| spellingShingle |
Bazaliy, B.V. Degtyarev, S.P. Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem Журнал математической физики, анализа, геометрии |
| author_facet |
Bazaliy, B.V. Degtyarev, S.P. |
| author_sort |
Bazaliy, B.V. |
| title |
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem |
| title_short |
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem |
| title_full |
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem |
| title_fullStr |
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem |
| title_full_unstemmed |
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem |
| title_sort |
classical solution of a degenerate elliptic-parabolic free boundary problem |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106687 |
| citation_txt |
Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem / B.V. Bazaliy, S.P. Degtyarev // Журнал математической физики, анализа, геометрии. — 2011. — Т. 7, № 4. — С. 295-332. — Бібліогр.: 13 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT bazaliybv classicalsolutionofadegenerateellipticparabolicfreeboundaryproblem AT degtyarevsp classicalsolutionofadegenerateellipticparabolicfreeboundaryproblem |
| first_indexed |
2023-10-18T20:13:29Z |
| last_indexed |
2023-10-18T20:13:29Z |
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1796149299819577344 |