A Diffusion Equation for Composite Materials

Date

2000-02-22

Authors

El Hajji, Mohamed

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this article, we study the asymptotic behavior of solutions to the diffusion equation with non-homogeneous Neumann boundary conditions. This equation models a composite material that occupies a perforated domain, in ℝN, with small holes whose sizes are measured by a number r∊. We examine the case when rε < εN/(N-2) with zero-average data around the holes, and the case when limε→0 rε/ε = 0 with nonzero-average data.

Description

Keywords

Diffusion equation, Composite material, Asymptotic behavior, H0-convergence

Citation

El Hajji, M. (2000). A diffusion equation for composite materials. <i>Electronic Journal of Differential Equations, 2000</i>(15), pp. 1-11.

Rights

Attribution 4.0 International

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