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Ponencia
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 ...
Tesis Doctoral
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 ...
Ponencia
Some properties of a class of abstract stationary equations
(2004)
We study a class of abstract nonlinear equations in a separable Hilbert space for which we prove properties of the set of solutions. The results apply, in particular, in several models of hydrodynamics, such as magneto-micropolar ...
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 ...
Ponencia