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Artículo
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
(American Mathematical Society, 2019-09)
This work is devoted to studying unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical ...
Artículo
On the regularity for the Laplace equation and the Stokes system
(Real Academia de Ciencias de Zaragoza, 2012)
The purpose of this work is to show a broad framework in which the theory of very weak solutions for the Dirichlet stationary problem for the Laplace and Stokes equations in bounded domains of Rn, n ≥ 2, could be developed. ...
Artículo
On the singular times of fluids with nonlinear viscosity
(Elsevier, 2001-11-15)
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
Numerical analysis for a chemotaxis-navier-stokes system
(E.D.P. Sciences, 2021-06-04)
In this paper we develop a numerical scheme for approximating a d-dimensional chemotaxis- Navier–Stokes system, d= 2, 3, modeling cellular swimming in incompressible fluids. This model describes the chemotaxis-fluid ...
Artículo
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes
(Springer, 2021-12-10)
We consider the following repulsive-productive chemotaxis model: find 0, the cell density, and 0, the chemical concentration, satisfying 0 in 0 in 0 (1) with 1 2 , a bounded domain ( 1 2 3), endowed with non-flux boundary ...
Artículo
Sobre la regularidad, unicidad y justificación asintótica del problema de Ecuaciones Primitivas del Océano
(Sociedad Española de Matemática Aplicada, 2002)
En este trabajo exponemos, y comentamos brevemente, los resultados obtenidos en la Tesis Doctoral de M. A. Rodríguez Bellido, dirigida por F. Guillén González, [15], sobre existencia, unicidad, regularidad y comportamiento ...
Artículo
Convergence and error estimates of two iterative methods for the strong solution of the incompressible korteweg model
(World Scientific, 2009-09)
We show the existence of strong solutions for a fluid model with Korteweg tensor, which is obtained as limit of two iterative linear schemes. The different unknowns are sequentially decoupled in the first scheme and in ...
Artículo
Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects: L.U.E.S.S. SCHEMES FOR ISOTROPIC-NEMATIC FLOWS WITH ANCHORING EFFECTS
(Wiley, 2016-01-26)
Two-phase flows composed of fluids exhibiting different microscopic structure are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: ...
Artículo
Fluid vesicles with internal nematic order
(Elsevier, 2020-10-22)
Models of flows containing vesicles membranes with liquid crystalline phases have been widely studied in recent times due to its connection with biological applications. In this work we propose a new model to represent ...