Geodesic
A diffusion equation for composite materials
Electronic journal of differential equations, Tome 2000 (2000)
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 ${\Bbb R}^N$, with small holes whose sizes are measured by a number $r_\varepsilon$. We examine the case when $r_\varepsilon \varepsilon^{N/(N-2)}$ with zero-average data around the holes, and the case when $\lim_{\varepsilon\to 0}{r_\varepsilon/\varepsilon}=0$ with nonzero-average data.
Classification : 31C40, 31C45, 60J50, 31C35, 31B35
Keywords: diffusion equation, composite material, asymptotic behavior, $H^{0}$-convergence 
@article{EJDE_2000__2000__a140,
     author = {El Hajji,  Mohamed},
     title = {A diffusion equation for composite materials},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0936.35176},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a140/}
}
TY  - JOUR
AU  - El Hajji,  Mohamed
TI  - A diffusion equation for composite materials
JO  - Electronic journal of differential equations
PY  - 2000
VL  - 2000
UR  - http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a140/
LA  - en
ID  - EJDE_2000__2000__a140
ER  - 
%0 Journal Article
%A El Hajji,  Mohamed
%T A diffusion equation for composite materials
%J Electronic journal of differential equations
%D 2000
%V 2000
%U http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a140/
%G en
%F EJDE_2000__2000__a140
El Hajji,  Mohamed. A diffusion equation for composite materials. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a140/