Homogenization of the Signorini boundary-value problem in a thick plane junction

• Published in: Нелінійні коливання
• Date: 2009
• Main Authors: Kazmerchuk, Yu.A., Mel’nyk, T.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/178380
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Homogenization of the Signorini boundary-value problem in a thick plane junction / Yu.A. Kazmerchuk, T.A. Mel’nyk // Нелінійні коливання. — 2009. — Т. 12, № 1. — С. 44-58. — Бібліогр.: 29 назв. — англ.

We consider a mixed boundary-value problem for the Poisson equation in a plane thick junction Ωε which
 is the union of a domain Ω₀ and a large number of ε-periodically situated thin rods. The nonuniform
 Signorini conditions are given on the vertical sides of the thin rods. The asym...