Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4671596 | Comptes Rendus Mathematique | 2008 | 6 Pages |
Abstract
Let Ω be a bounded open set of R3 and (Ïε), (με), (λε) be sequences of ε-periodic functions on Ω, the function Ïε taking very large values on a set of ε-periodically distributed balls of radius rε (rεâªÎµ). We study the asymptotic behaviour as εâ0 of the equation:{Ïεâ2uεât2âdiv(Ïε(uε))=ÏεfinΩÃ(0,T)+boundary conditions,Ïε(uε)=λεtr(e(uε))I+2μεe(uε),e(uε)=12(âuε+âTuε), and finally we find a non-local effective equation deduced from a homogenized system of hyperbolic equations. To cite this article: M. Bellieud, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Michel Bellieud,