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Mostrando ítems 11-20 de 22
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 and correctors for monotone problems in cylinders of small diameter
(Elsevier, 2013-06-01)
In this paper we study the homogenization of monotone diffusion equations posed in an N-dimensional cylinder which converges to a (one-dimensional) segment line. In other terms, we pass to the limit in diffusion monotone ...
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 two-scale convergence method applied to generalized Besicovitch spaces
(The Royal Society, 2002-12-08)
The two-scale convergence method has proved to be a very useful tool for dealing with periodic homogenization problems. In the present paper we develop this theory to generalized Besicovitch spaces, which include the ...
Artículo
On the influence of wavy riblets on the slip behaviour of viscous fluids
(Springer, 2016-04)
In this work, we use the homogenization theory to investigate the capability of wavy riblet patterns to influence the behaviour of a viscous flow near a ribbed boundary. Starting from perfect slip conditions on the wall, ...
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
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
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 ...