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Now showing items 11-20 of 54
Article
Estimate of the pressure when its gradient is the divergence of a measure. Applications
(EDP Sciences, 2011)
In this paper, a W−1,N estimate of the pressure is derived when its gradient is the divergence of a matrix-valued measure on RN , or on a regular bounded open set of RN . The proof is based partially on the Strauss inequality ...
Article
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 ...
Article
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 ...
Article
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 ...
Article
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 ...
Article
Smoothness properties for the optimal mixture of two isotropic materials the compliance and eigenvalue problems
(Society for Industrial and Applied Mathematics, 2015)
The present paper is devoted to obtaining some smoothness results for the solution of two classical control problems relative to the optimal mixture of two isotropic materials. In the first one, the goal is to maximize the ...
Article
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 ...
Article
Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders☆
(Elsevier, 2006-06-12)
We study the asymptotic behavior at infinity of the solutions of a nonlinear elliptic system posed in a cylinder of infinite length. The problem is written in a variational formulation, where we ask the derivative of the ...
Article
A density result for the variation of a material with respect to small inclusions
(Elsevier, 2006-03-01)
We consider the family of materials obtained, via homogenization, by replacing a small portion, of size ɛ, of a fixed material by other materials. In a previous paper we have obtained a subset of the set of ‘derivatives’ ...
Article
Lack of compactness in two-scale convergence
(Society for Industrial and Applied Mathematics, 2005)
This article deals with the links between compensated compactness and two-scale convergence. More precisely, we ask the following question: Is the div-curl compactness assumption sufficient to pass to the limit in a product ...