In this paper we study a mixed boundary value problem for the Poisson equation in a multi-structure Omega(epsilon), which is the union of a domain Omega(0) and a large number N of epsilon-periodically situated thin rings with variable thickness of order epsilon=O(N-1). By using some special extension operator, we prove a convergence theorem as epsilon-->0 and investigate the asymptotic behaviour of the solution under the Robin conditions on the boundaries of the thin rings.
Homogenization of the Robin Problem for the Poisson Equation in a Thick Multi-structure of Type 3:2:2 / DE MAIO, Umberto; Melnyk, T. A.. - In: ASYMPTOTIC ANALYSIS. - ISSN 0921-7134. - 41:2(2005), pp. 161-177.
Homogenization of the Robin Problem for the Poisson Equation in a Thick Multi-structure of Type 3:2:2
DE MAIO, UMBERTO;
2005
Abstract
In this paper we study a mixed boundary value problem for the Poisson equation in a multi-structure Omega(epsilon), which is the union of a domain Omega(0) and a large number N of epsilon-periodically situated thin rings with variable thickness of order epsilon=O(N-1). By using some special extension operator, we prove a convergence theorem as epsilon-->0 and investigate the asymptotic behaviour of the solution under the Robin conditions on the boundaries of the thin rings.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
