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Artículo
Weak solutions for an initial-boundary Q-Tensor problem related to liquid crystals
(Elsevier, 2015-01)
The coupled Navier-Stokes and Q-Tensor system is considered in a bounded three-dimensional domain under homogeneous Dirichlet boundary conditions for the velocity u and either nonhomogeneous Dirichlet or homogeneous Neumann ...
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
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
The Oseen and Navier-Stokes equations in a non-solenoidal framework
(Wiley, 2014-12-11)
The very weak solution for the Stokes, Oseen and Navier-Stokes equations has been studied by several authors in the last decades in domains of Rn, n ≥ 2. The authors studied the Oseen and Navier-Stokes problems assuming a ...