Nonlinear “double porosity” type model
[Un modèle non linéaire de type double porosité]
Comptes Rendus. Mathématique, Tome 334 (2002) no. 5, pp. 435-440.

On étudie un problème variationnel inf uH 1 (Ω) Ω {a ϵ |u ϵ | m +g|u ϵ | m - mf ϵ u ϵ }dx dans un ouvert borné Ω= (ϵ) ¯ (ϵ) avec une microstructure (ϵ) non périodique ; aε=aε(x) vaut 1 dans (ϵ) et sup x (ϵ) a ϵ (x)0 lorsque ε→0. Un modèle homogénéisé est construit.

We consider a variational problem inf uH 1 (Ω) Ω {a ϵ |u ϵ | m +g|u ϵ | m - mf ϵ u ϵ }dx in a bounded domain Ω= (ϵ) ¯ (ϵ) with a microstructure (ϵ) which is not in general periodic; aε=aε(x) is of order 1 in (ϵ) and sup x (ϵ) a ϵ (x)0 as ε→0. A homogenized model is constructed.

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Révisé le :
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DOI : 10.1016/S1631-073X(02)02269-0
Pankratov, Leonid 1 ; Piatnitski, Andrey 2, 3

1 Département de mathématiques, Institut des Basses Températures (FTINT), 47, av. Lénine, 61103, Kharkov, Ukraine
2 Narvik University College, HiN, 8505, Narvik, Norway
3 Lebedev Physical Institute RAS, 53, Leninski prospect, 117333, Moscow, Russia
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     title = {Nonlinear {\textquotedblleft}double porosity{\textquotedblright} type model},
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Pankratov, Leonid; Piatnitski, Andrey. Nonlinear “double porosity” type model. Comptes Rendus. Mathématique, Tome 334 (2002) no. 5, pp. 435-440. doi : 10.1016/S1631-073X(02)02269-0. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02269-0/

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