6 citations · 10 across the 7 of their papers we have counts for
9 papers
On the fractional heat semigroup and product estimates in Besov spaces and applications in theoretical analysis of the fractional Keller-Segel system
Jhean E. Pérez-López, Diego A. Rueda-Gómez, Élder J. Villamizar-Roa
This paper is concerned with the fractional Keller-Segel system in the temporal and spatial variables. We consider fractional dissipation for the physical variables including a fra…
Theoretical and numerical analysis for an interspecies competition model with chemoattraction-consumption in fluids
Carlos Mateo Beltrán-Larrotta, Diego Armando Rueda-Gómez, Élder Jesús Villamizar-Roa
This work is devoted to the theoretical and numerical analysis of a two-species chemotaxis- Navier-Stokes system with Lotka-Volterra competitive kinetics in a bounded domain of Rd,…
Convergence and positivity of finite element methods for a haptotaxis model of tumoral invasion
Viviana Niño-Celis, Diego Armando Rueda-Gómez, Élder Jesús Villamizar Roa
In this paper, we consider a mathematical model for the invasion of host tissue by tumour cells in a -dimensional bounded domain, . This model consists of a system of d…
Numerical analysis for a chemotaxis-Navier-Stokes system
Abelardo Duarte-Rodríguez, María A. Rodríguez-Bellido, Diego A. Rueda-Gómez +1
In this paper we develop a numerical scheme for approximating a -dimensional chemotaxis-Navier-Stokes system, , modeling cellular swimming in incompressible fluids. This…
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez
This work is devoted to study unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: Find , the ce…
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production
Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez
In this paper we propose two fully discrete Finite Elements (FE) schemes for a repulsive chemotaxis model with quadratic production term. The first one (called scheme UV) correspon…
Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditional energy-stable fully discrete scheme
F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez
This work is devoted to the study of a fully discrete scheme for a repulsive chemotaxis with quadratic production model. By following the ideas presented in [Guilen-Gonzalez et al]…
Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes
F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez
We consider a chemo-repulsion model with quadratic production in a bounded domain. Firstly, we obtain global in time weak solutions, and give a regularity criterion (which is satis…
A boundary control problem associated to the Rayleigh-Bénard-Marangoni system
Elder J. Villamizar-Roa, Diego A. Rueda-Gómez
In this paper, we study a boundary control problem associated to the stationary Rayleigh-Bénard-Marangoni (RBM) system in presence of controls for the velocity and the temperature…