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Artículo
Homogenization of Dirichlet parabolic problems for coefficients and open sets simultaneously variable and applications to optimal design
(Elsevier, 2006-07-15)
In a previous paper, we studied the homogenization of a sequence of parabolic linear Dirichlet problems, when the coefficients and the domains vary arbitrarily. Here, we improve the convergence result given in this paper ...
Artículo
Nonlocal limits in the study of linear elliptic systems arising in periodic homogenization
(Elsevier, 2007-07-01)
In the present paper, we obtain the two-scale limit system of a sequence of linear elliptic periodic problems with varying coefficients. We show that this system has not the same structure than the classical one, obtained ...
Artículo
The limit of Dirichlet systems for variable monotone operators in general perforated domains
(Elsevier, 2001-11-15)
We study the asymptotic behaviour of the solutions of nonlinear Dirichlet systems when the operators and the open sets where they are posed vary simultaneously. We obtain a representation of the limit problem and we prove ...
Artículo
Asymptotic behavior of nonlinear systems in varying domains with boundary conditions on varying sets
(EDP Sciences, 2009)
For a fixed bounded open set Ω ⊂ RN , a sequence of open sets Ωn ⊂ Ω and a sequence of sets Γn ⊂ ∂Ω ∩ ∂Ωn, we study the asymptotic behavior of the solution of a nonlinear elliptic system posed on Ωn, satisfying Neumann ...
Artículo
Asymptotic behaviour of linear Dirichlet parabolic problems with variable operators depending on time in varying domains
(Elsevier, 2005-06-01)
We study the asymptotic behaviour of the solutions of linear parabolic Dirichlet problems when the coefficients and the domains where the problems are posed vary simultaneously. In the limit problem it appear the H-limit ...