diffusion equation for composite materials
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ID: 200553
2000
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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 ${mathbb R}^N$, 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 $lim_{varepsilono 0}{r_varepsilon/varepsilon}=0$ with nonzero-average data.
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hajji2000electronicdiffusion
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| Authors | ;Mohamed El Hajji |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2000 |
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