Insulating layers and Robin Problems on Koch mixtures

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:251

Article

Capitanelli, Raffaela¹  Vivaldi, Maria Agostina¹ 

[1] Univ Roma La Sapienza, Dipartimento Sci Base & Applicate Ingn, I-00161 Rome, Italy

关键词: Elliptic operators;    Weights;    Homogenization;    Fractals;    Asymptotics;   

DOI  :  10.1016/j.jde.2011.02.003

来源: Elsevier

【 摘 要 】

This paper deals with a reinforcement problem for a plane domain Omega((xi)) whose boundary is a deterministic or random mixture of self-similar Koch curves. We construct an epsilon-thin polygonal 2-dimensional fiber Sigma((xi),n)(epsilon), n is an element of N, 0 < epsilon < 1, around pre-fractal approximating domains Omega((xi),n) and related suitable energy functionals. The aim of this paper is to study the asymptotic behavior of the reinforced energy functionals while, simultaneously, the thickness of the fibers and the conductivity of the functionals on the fibers converges to 0 as n -> +infinity. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free