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Artículo
On the Navier boundary condition for viscous fluids in rough domains
(Sociedad Española de Matemática Aplicada, 2012-04)
In this paper we review some recent results concerning the study of the asymptotic behavior of viscous fluids in rough domains assuming Navier boundary conditions on the rough boundary. Our main interest is to study the ...
Artículo
An overview on numerical analyses of nematic liquid crystal flows
(Springer, 2011-09)
The purpose of this work is to provide an overview of the most recent numerical developments in the field of nematic liquid crystals. The Ericksen-Leslie equations govern the motion of a nematic liquid crystal. This system, ...
Artículo
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 ...
Artículo
Stabilization of a non standard FETI-DP mortar method for the Stokes problem
(EDP Sciences, 2014-01)
In a recent paper [E. Chacón Vera and D. Franco Coronil, J. Numer. Math. 20 (2012) 161–182.] a non standard mortar method for incompressible Stokes problem was introduced where the use of the trace spaces H1/2 and H1/2 00 ...
Artículo
Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains
(Society for Industrial and Applied Mathematics, 2014)
In this paper we consider the boundary null controllability of a system of n parabolic equations on domains of the form Ω = (0, π) × Ω2 with Ω2 a smooth domain of RN−1, N > 1. When the control is exerted on {0} × ω2 with ...
Artículo
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 ...
Artículo
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure
(Society for Industrial and Applied Mathematics, 2015)
We consider the Stokes and Navier–Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational ...
Artículo
A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean
(Elsevier, 2013-04)
We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational complexity. We prove stability through a specific inf-sup condition, and weak convergence to ...
Artículo
Weak-renormalized solutions for a system that models non-isothermal solidification
(Sociedad Española de Matemática Aplicada, 2012-07)
The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq kind. This system may be regarded as a modified version of the non-isothermal solidification problem ...
Artículo
Weak time regularity and uniqueness for a Q-Tensor model
(Society for Industrial and Applied Mathematics, 2014)
The coupled Navier-Stokes and Q-Tensor system is one of the models used to describe the behavior of the nematic liquid crystals. The existence of weak solutions and a uniqueness criteria have been already studied (see [11] ...