Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction

• Date: 2006
• Main Authors: Mel'nik, T. A., Мельник, Т. А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3447
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A spectral boundary-value problem is considered in a plane thick two-level junction $\Omega_{\varepsilon}$, which is the union of a domain $\Omega_{0}$ and a large number $2N$ of thin rods with thickness of order $\varepsilon = \mathcal{O} (N^{-1})$. The thin rods are divided into two levels depen...