𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homogenization of the Neumann problem in thick multi-structures of type 3 : 2 : 2

✍ Scribed by U. De Maio; T. A. Mel'nyk

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
150 KB
Volume
28
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Using some special extension operator, a convergence theorem is proved for the solution to the Neumann boundary value problem for the Ukawa equation in a junction Ξ©~Ξ΅~, which is the union of a domain Ξ©~0~ and a large number N of Ρ‐periodically situated thin annular disks with variable thickness of order Ξ΅=π’ͺ(N^‐1^), as Ξ΅ β†’ 0. Copyright Β© 2004 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

Homogenization of a boundary-value probl
Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1
✍ Taras A. Mel'nyk πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 217 KB

## Abstract We consider a boundary‐value problem for the Poisson equation in a thick junction Ξ©~Ξ΅~, which is the union of a domain Ξ©~0~ and a large number of Ρ‐periodically situated thin curvilinear cylinders. The following nonlinear Robin boundary condition βˆ‚~Ξ½~__u__~Ξ΅~ + Ρκ(__u__~Ξ΅~)=0 is given o

Asymptotic analysis of a spectral proble
Asymptotic analysis of a spectral problem in a periodic thick junction of type 3:2:1
✍ T. A. Mel'nyk πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 204 KB πŸ‘ 2 views

Convergence theorems and asymptotic estimates (as P0) are proved for eigenvalues and eigenfunctions of a mixed boundary value problem for the Laplace operator in a junction C of a domain and a large number N of -periodically situated thin cylinders with thickness of order "O(N\). We construct an ext