Asymptotical Analysis of Electrostatic Problems in Nonlinear Domains with Thin Perfectly Conducting Grids

Autor:	V. Prytula
Rok vydání:	2006
Předmět:	Nonlinear system Asymptotical analysis Hypersurface Mathematical analysis Electrostatics Homogenization (chemistry) Mathematics
Zdroj:	2006 International Conference on Mathematical Methods in Electromagnetic Theory.
DOI:	10.1109/mmet.2006.1689756
Popis:	In the paper we investigate the asymptotic behavior of solutions of the family of nonlinear elliptic equations in domains with thin grids concentrating near a hypersurface when the measure of wires tends to zero and the density tends to infinity. The homogenized equations and the homogenized boundary onditions are derived. The homogenization technique is based on the applying of the abstract theorem on the homogenization of the nonlinear variational functionals in the Sobolev-Orlicz spaces. This theorem is proved in the paper.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6dfa6d37c42c77bd9337e19970909864 https://doi.org/10.1109/mmet.2006.1689756 Zobrazit plný text záznamu