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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
Long-time behavior of global weak solutions for a beris-edwards type model of nematic liquid crystals
(Springer, 2022-10-06)
We consider a Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This system couples a Navier–Stokes system for the fluid velocity with a time-dependent system for the Q-tensor variable, ...
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
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
(Springer, 2022-08-12)
The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In this work, we present a new upwind ...
Artículo
A common framework for the robust design of tuned mass damper techniques to mitigate pedestrian-induced vibrations in lively footbridges
(Elsevier Ltd, 2021)
The dynamic response of modern slender footbridges is usually sensitive to both the pedestrian actions and the uncertainties associated with their inherent structural behavior. Thus, tuned mass dampers have been widely ...
Artículo
A Glioblastoma PDE-ODE model including chemotaxis and vasculature
(E.D.P. Sciences, 2022-01-26)
In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma, which includes chemotaxis term directed to vasculature. First, we obtain some a priori estimates for the (possible) solutions of the ...
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, ...