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Artículo
A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions
(Ohio University Press, 2014-11)
We give a regularity criterion for a Q-tensor system modeling a nematic Liquid Crystal, under homogeneous Neumann boundary conditions for the tensor Q. Starting of a criterion only imposed on the velocity field u two results ...
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] ...
Artículo
Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model
(Wiley, 2009-06)
In [3] L. C. Berselli, On a Regularity Criterion for the Solutions to the 3D Navier-Stokes Equations, Diff. and Integral Eq., Vol. 15, Number 9, 1129-1137 (2002). , L. Berselli showed that the additional regularity hypothesis ...
Artículo
Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
(Elsevier, 2004)
The main subject of this work is to study the concept of very weak solution for the hydrostatic Stokes system with mixed boundary conditions (non-smooth Neumann conditions on the rigid surface and homogeneous Dirichlet ...
Artículo
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
(Société de Mathématiques Appliquées et Industrielles (SMAI), 2020-03)
In this paper, we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term in a bidimensional domain. The existence, uniqueness and regularity of strong solutions of this ...
Artículo
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes
(Springer, 2015-06)
The stability of velocity and pressure mixed finite-element approximations in general meshes of the hydrostatic Stokes problem is studied, where two “inf-sup” conditions appear associated to the two constraints of the ...
Artículo
Anisotropic estimates and strong solutions of the primitive equations
(Ohio University Press, 2001-01)
Artículo
A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem
(SIAM, 2020-01-15)
In this paper, a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production is studied. The existence of weak solutions is proved, and a regularity criterion to get global-in-time ...
Artículo
Finite element approximation of nematic liquid crystal flows using a saddle-point structure
(Elsevier, 2011-02-20)
In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on a saddle-point formulation of the director vector sub-problem. It introduces a Lagrange multiplier ...
Artículo
Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals
(Cornell University, 2018-05-07)
We study a Q-tensor problem modeling the dynamic of nematic liquid crystals in 3D domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending on the elastic forces of the liquid ...