Reiterated homogenization of monotone operators
نویسندگان
چکیده
منابع مشابه
Multiscale Homogenization of Monotone Operators
In this paper we prove a generalization of the iterated homogenization theorem for monotone operators, proved by Lions et al. in [20] and [21]. Our results enable us to homogenize more realistic models of multiscale structures.
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This paper deals with the limit behaviour of the solutions of quasi-linear equations of the form − div (a (x, x/εh, Duh)) = fh on Ω with Dirichlet boundary conditions. The sequence (εh) tends to 0 and the map a(x, y, ξ) is periodic in y, monotone in ξ and satisfies suitable continuity conditions. It is proved that uh → u weakly in H 1,2 0 (Ω), where u is the solution of a homogenized problem − ...
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ژورنال
عنوان ژورنال: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
سال: 2000
ISSN: 0764-4442
DOI: 10.1016/s0764-4442(00)00242-1