Homogenization of a monotone problem in a domain with oscillating boundary

被引：31

作者：

Blanchard, D ^{[1
]}

Carbone, L

Gaudiello, A

机构：

[1] Univ Rouen, UPRESA 6085, F-76821 Mont St Aignan, France

[2] Univ Naples Federico II, Dipartimento Matemat & Applicazioni R Caccioppoli, I-80134 Naples, Italy

[3] Univ Naples Federico II, Dipartimento Ingn Agr & Agron Territorio, I-80055 Portici, NA, Italy

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1999年 / 33卷 / 05期

关键词：

homogenization; nonlinear problem; oscillating boundary;

D O I：

10.1051/m2an:1999134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behaviour of the following nonlinear problem: GRAPHICS in a domain Omega(h) of R-n whose boundary partial derivative Omega(h) contains an oscillating part with respect to h when h tends to infinity. The oscillating boundary is defined by a set of cylinders with axis 0x(n) that; are h(-1)-periodically distributed. We prove that the limit problem in the domain corresponding to the oscillating boundary identifies with a diffusion operator with respect to x(n) coupled with an algebraic problem for the limit fluxes. AMS Subject Classification. 35B25, 35J60.

引用

页码：1057 / 1070

页数：14

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