Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids
The asymptotic behavior of solutions of the family of nonlinear elliptic equations in domains with thin grids concentrating near a hypersurface when measure of the wires tends to zero and the density tends to infinity is investigated. The homogenized equations and the homogenized boundary conditions...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106678 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids / M.V. Goncharenko, V.I. Prytula // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 424-448. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862640207050833920 |
|---|---|
| author | Goncharenko, M.V. Prytula, V.I. |
| author_facet | Goncharenko, M.V. Prytula, V.I. |
| citation_txt | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids / M.V. Goncharenko, V.I. Prytula // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 424-448. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The asymptotic behavior of solutions of the family of nonlinear elliptic equations in domains with thin grids concentrating near a hypersurface when measure of the wires tends to zero and the density tends to infinity is investigated. The homogenized equations and the homogenized boundary conditions are derived. The homogenization technique is based on applying of the abstract theorem on homogenization of the nonlinear variational functionals in the Sobolev-Orlicz spaces.
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| first_indexed | 2025-12-01T02:08:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106678 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-01T02:08:28Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Goncharenko, M.V. Prytula, V.I. 2016-10-02T18:31:41Z 2016-10-02T18:31:41Z 2006 Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids / M.V. Goncharenko, V.I. Prytula // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 424-448. — Бібліогр.: 6 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106678 The asymptotic behavior of solutions of the family of nonlinear elliptic equations in domains with thin grids concentrating near a hypersurface when measure of the wires tends to zero and the density tends to infinity is investigated. The homogenized equations and the homogenized boundary conditions are derived. The homogenization technique is based on applying of the abstract theorem on homogenization of the nonlinear variational functionals in the Sobolev-Orlicz spaces. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids Article published earlier |
| spellingShingle | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids Goncharenko, M.V. Prytula, V.I. |
| title | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids |
| title_full | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids |
| title_fullStr | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids |
| title_full_unstemmed | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids |
| title_short | Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids |
| title_sort | homogenization of electrostatic problems in nonlinear medium with thin perfectly conducting grids |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106678 |
| work_keys_str_mv | AT goncharenkomv homogenizationofelectrostaticproblemsinnonlinearmediumwiththinperfectlyconductinggrids AT prytulavi homogenizationofelectrostaticproblemsinnonlinearmediumwiththinperfectlyconductinggrids |