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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
Homogenization of a large eddy simulation model for turbulent fluid motion near a rough wall
(Springer, 2018-12)
In this paper, we are interested in the numerical simulation of a turbulent viscous flow in the vicinity of a periodic rough wall. To this aim, we consider a large eddy simulation (LES) model, and perform its asymptotic ...
Artículo
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
(American Institute of Mathematical Sciences, 2019-06)
We consider the Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size ε. On the boundary of the cylinders we prescribe non-homogeneous slip boundary ...
Artículo
Homogenization and corrector for the wave equation with discontinuous coefficients in time
(Elsevier, 2011-01-28)
In this paper we analyze the homogenization of the wave equation with bounded variation coefficients in time, generalizing the classical result, which assumes Lipschitz-continuity. We start showing a general existence ...
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
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
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 + ...