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Журнал математической физики, анализа, геометрии, 2006, том 2, номер 4, страницы 424–448
(Mi jmag45)
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Эта публикация цитируется в 4 научных статьях (всего в 4 статьях)
Homogenization of electrostatic problems in nonlinear medium with thin perfectly conducting grids
M. V. Goncharenkoa, V.I. Prytulab a Mathematical Division, B. Verkin Institute for Low Temperature Physics & Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine
b Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine, 12 Akad. Proscura Str., Kharkov, 61002, Ukraine
Аннотация:
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.
Ключевые слова и фразы:
homogenization, domains with grids, electrostatic, Sobolev–Orlicz spaces.
Поступила в редакцию: 07.11.2005
Образец цитирования:
M. V. Goncharenko, V.I. Prytula, “Homogenization of electrostatic problems in nonlinear medium with thin perfectly conducting grids”, Журн. матем. физ., анал., геом., 2:4 (2006), 424–448
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag45 https://www.mathnet.ru/rus/jmag/v2/i4/p424
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