1 citations · 1 across the 6 of their papers we have counts for
9 papers
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…
On a bi-dimensional chemo-repulsion model with nonlinear production
Francisco Guillén-González, Exequiel Mallea-Zepeda, Élder J. Villamizar-Roa
In this paper, we study the following parabolic chemo-repulsion with nonlinear production model: $$ \left\{ \begin{array}{rcl} \partial_tu-Δu&=&\nabla\cdot(u\nabla v),\\ \partial_t…
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…
An optimal control problem for the Navier-Stokes- system
Exequiel Mallea-Zepeda, Elva Ortega-Torres, Élder J. Villamizar-Roa
In this paper we study a distributed optimal control problem for a three-dimensional Navier-Stokes- model. We prove the solvability of the optimal control problem, and derive fi…
Existence theory for the Boussinesq equation in Modulation spaces
Élder J. Villamizar-Roa, Carlos Banquet Brango
In this paper we study the Cauchy problem for the generalized Boussinesq equation with initial data in modulation spaces After a deco…