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...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2011
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106687 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747915115560960 |
|---|---|
| author | Bazaliy, B.V. Degtyarev, S.P. |
| author_facet | Bazaliy, B.V. Degtyarev, S.P. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
|
| first_indexed | 2025-12-07T20:53:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106687 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T20:53:01Z |
| publishDate | 2011 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Bazaliy, B.V. Degtyarev, S.P. 2016-10-02T20:16:30Z 2016-10-02T20:16:30Z 2011 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 https://nasplib.isofts.kiev.ua/handle/123456789/106687 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem Article published earlier |
| spellingShingle | Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem Bazaliy, B.V. Degtyarev, S.P. |
| title | 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_short | Classical Solution of a Degenerate Elliptic-Parabolic Free Boundary Problem |
| title_sort | classical solution of a degenerate elliptic-parabolic free boundary problem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106687 |
| work_keys_str_mv | AT bazaliybv classicalsolutionofadegenerateellipticparabolicfreeboundaryproblem AT degtyarevsp classicalsolutionofadegenerateellipticparabolicfreeboundaryproblem |