Axisymmetric mixed free boundary value problem
Mixed Free Boundary Value Problem for Laplace equation in axisymmetrical case is considered. We take into consideration mean and Gauss curvatures of the free boundary. The problem of this type arise on investigating thermal equillibrium of two phases. We take into account capillary forces acting in...
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| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/10114 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Axisymmetric mixed free boundary value problem / E. Shcherbakov // Нелинейные граничные задачи. — 2007. — Т. 17. — С. 130-150. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
| spelling |
irk-123456789-101142010-07-26T12:02:15Z Axisymmetric mixed free boundary value problem Shcherbakov, E. Mixed Free Boundary Value Problem for Laplace equation in axisymmetrical case is considered. We take into consideration mean and Gauss curvatures of the free boundary. The problem of this type arise on investigating thermal equillibrium of two phases. We take into account capillary forces acting in intermediate layer separating different phases. Plane model of the equillibrium without capillary forces was considered in the paper([1]). We consider variational problem whose solution is generalized solution of the boundary value problem.We prove regularity of solution, analyticity of free boundary and investigate its properties. 2007 Article Axisymmetric mixed free boundary value problem / E. Shcherbakov // Нелинейные граничные задачи. — 2007. — Т. 17. — С. 130-150. — Бібліогр.: 12 назв. — англ. 0236-0497 http://dspace.nbuv.gov.ua/handle/123456789/10114 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 |
Mixed Free Boundary Value Problem for Laplace equation in axisymmetrical case is considered. We take into consideration mean and Gauss curvatures of the free boundary. The problem of this type arise on investigating thermal equillibrium of two phases. We take into account capillary forces acting in intermediate layer separating different phases. Plane model of the equillibrium without capillary forces was considered in the paper([1]). We consider variational problem whose solution is generalized solution of the boundary value problem.We prove regularity of solution, analyticity of free boundary and investigate its properties. |
| format |
Article |
| author |
Shcherbakov, E. |
| spellingShingle |
Shcherbakov, E. Axisymmetric mixed free boundary value problem |
| author_facet |
Shcherbakov, E. |
| author_sort |
Shcherbakov, E. |
| title |
Axisymmetric mixed free boundary value problem |
| title_short |
Axisymmetric mixed free boundary value problem |
| title_full |
Axisymmetric mixed free boundary value problem |
| title_fullStr |
Axisymmetric mixed free boundary value problem |
| title_full_unstemmed |
Axisymmetric mixed free boundary value problem |
| title_sort |
axisymmetric mixed free boundary value problem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/10114 |
| citation_txt |
Axisymmetric mixed free boundary value problem / E. Shcherbakov // Нелинейные граничные задачи. — 2007. — Т. 17. — С. 130-150. — Бібліогр.: 12 назв. — англ. |
| work_keys_str_mv |
AT shcherbakove axisymmetricmixedfreeboundaryvalueproblem |
| first_indexed |
2023-10-18T16:43:40Z |
| last_indexed |
2023-10-18T16:43:40Z |
| _version_ |
1796139727749906432 |