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Artículo
Homogenization of convex functionals which are weakly coercive and not equi-bounded from above
(Elsevier, 2013-08-01)
This paper deals with the homogenization of nonlinear convex energies defined in W_{0}^{1,1}(\Omega )W01,1(Ω), for a regular bounded open set Ω of \mathbb{R}^{N}RN, the densities of which are not equi-bounded from above, ...
Artículo
Uniform convergence of sequences of solutions of two-dimensional linear elliptic equations with unbounded coefficients
(Elsevier, 2008-10-15)
This paper deals with the behavior of two-dimensional linear elliptic equations with unbounded (and possibly infinite) coefficients. We prove the uniform convergence of the solutions by truncating the coefficients and using ...
Artículo
Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
(Elsevier, 2020-12-15)
In this paper we study homogenization of a linear system of elastodynamics in an elastic body with soft inclusions, which is embedded in a highly oscillating magnetic field. We show two limits behaviors according to the ...
Artículo
Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations
(Springer, 2012-09)
The paper deals with the homogenization of rigid heterogeneous plates. Assuming that the coefficients are equi-bounded in L1, we prove that the limit of a sequence of plate equations remains a plate equation which involves ...
Artículo
The div-curl lemma “trente ans après”: an extension and an application to the G-convergence of unbounded monotone operators
(Elsevier, 2009-05)
In this paper new div-curl results are derived. For any open set Ω of RN, N⩾2, we study the limit of the product vn⋅wn where the sequences vn and wn are respectively bounded in Lp(Ω)N and Lq(Ω)N, while divvn and curlwn are ...
Artículo
Homogenization of systems with equi-integrable coefficients
(EDP Sciences, 2014)
In this paper we prove a H-convergence type result for the homogenization of systems the coefficients of which satisfy a functional ellipticity condition and a strong equi-integrability condition. The equi-integrability ...
Artículo
A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
(Elsevier, 2016-04-05)
In this paper a new div-curl result is established in an open set Ω of R N , N ≥ 2, for the product of two sequences of vector-valued functions which are bounded respectively in Lp (Ω)N and Lq (Ω)N , with 1/p + 1/q = 1 + ...
Artículo
Two-Dimensional Div-Curl Results: Application to the Lack of Nonlocal Effects in Homogenization
(Taylor & Francis, 2007-06-06)
In this paper, we study the asymptotic behaviour of sequences of conduction problems and sequences of the associated diffusion energies. We prove that, contrary to the three-dimensional case, the boundedness of the ...