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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
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 ...
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
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
Nematic order on a deformable vesicle with anchoring effects
(Elsevier, 2020-04-16)
Models to represent the interactions of liquid crystalline phases with vesicles mem- branes have been widely studied in recent times due to its connection with biological materials. In this work we propose a new model ...
Artículo
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production
(Elsevier, 2021-12-07)
In this paper we propose two fully discrete Finite Elements (FE) schemes for a repulsive chemotaxis model with a quadratic production term. The first one, which corresponds to the backward Euler in time with FE in space, ...