Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2006
• Main Authors: Mel'nyk, T.A., Vashchuk, P.S.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106622
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Homogenization of the Neumann-Fourier Problem in a Thick Two-Level Junction of Type 3:2:1 / T.A. Mel`nyk, P.S. Vashchuk // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 318-337. — Бібліогр.: 37 назв. — англ.

We consider a mixed boundary-value problem for the Poisson equation in a two-level junction " which is the union of a domain Ω₀ and a large number of thin cylinders with cross-section of order O(ε²): The thin cylinders are divided into two levels depending on their lengths. In addition, the t...