Geodesic
Homogenization of Evolution Problems in a Fiber Reinforced Structure
Journal of convex analysis, Tome 11 (2004) no. 2, pp. 363-385.

Voir la notice de l'article provenant de la source Heldermann Verlag

We study the homogenization of parabolic or hyperbolic equations like $$ \rho_\epsilon(x){\partial^n u_\epsilon \over \partial t^n}- div(a_\epsilon(x) \nabla u_\epsilon) =f $$ on $\Omega\times (0, T)$ plus {\sl boundary conditions}, $n \in \{1,2\}$, where the coefficients $a_\epsilon$ and $\rho_\epsilon$ takes values of very different order on an $\epsilon$-periodic subset $T_\epsilon \subset \Omega$ (fibered structure) and elsewhere. We find a non local effective equation deduced from a homogenized system of several equations.
Mots-clés : homogenization, fiber structures, two-scale convergence, Γ-convergence 
@article{JCA_2004_11_2_JCA_2004_11_2_a5,
     author = {M. Bellieud},
     title = {Homogenization of {Evolution} {Problems} in a {Fiber} {Reinforced} {Structure}},
     journal = {Journal of convex analysis},
     pages = {363--385},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2004},
     url = {http://geodesic.mathdoc.fr/item/JCA_2004_11_2_JCA_2004_11_2_a5/}
}
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M. Bellieud. Homogenization of Evolution Problems in a Fiber Reinforced Structure. Journal of convex analysis, Tome 11 (2004) no. 2, pp. 363-385. http://geodesic.mathdoc.fr/item/JCA_2004_11_2_JCA_2004_11_2_a5/