1. Nonlinear “double porosity” type model
- Author
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Pankratov, Leonid and Piatnitski, Andrey
- Subjects
- *
MICROSTRUCTURE , *ASYMPTOTIC homogenization - Abstract
We consider a variational problem
infu∈H1(Ω)∫Ω{aϵ&z.sfnc;∇uϵ&z.sfnc;m+g&z.sfnc;uϵ&z.sfnc;m−mfϵuϵ} dx in a bounded domainΩ=F(ϵ)∪ with a microstructureM (ϵ)F(ϵ) which is not in general periodic;aϵ=aϵ(x) is of order 1 inF(ϵ) andsupx∈M(ϵ)aϵ(x)→0 asϵ→0 . A homogenized model is constructed. To cite this article: L. Pankratov, A. Piatnitski, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 435–440. [Copyright &y& Elsevier]- Published
- 2002
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