2 citations · 3 across the 6 of their papers we have counts for
8 papers
Optimal Bilinear control restricted to the three-dimensional chemo-repulsion model with potential production
Francisco Guillen-Gonzalez, Exequiel Mallea-Zepeda, Maria A. Rodriguez-Bellido +1
In this paper we study the following three-dimensional parabolic-parabolic chemo-repulsion model with potential production, logistic reaction and bilinear control, defined in $Q=(0…
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…
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…
A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem
Francisco Guillén-González, Exequiel Mallea-Zepeda, María Ángeles Rodríguez-Bellido
In this paper we study a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production. We prove the existence of weak solutions and we establish…
Bounds for Different Spreads of Line and Total Graphs
E. Andrade, E. Lenes, E. Mallea +2
In this paper we explore some results concerning the spread of the line and the total graph of a given graph. In particular, it is proved that for an connected graph wi…
On the diameter and incidence energy of iterated total graphs
Eber Lenes, Exequiel Mallea-Zepeda, María Robbiano +1
The total graph of , is the graph whose set of vertices is the union of the sets of vertices and edges of , where two vertices are adjacent if and only if the…
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
Francisco Guillén González, Exequiel Mallea-Zepeda, María Ángeles Rodríguez-Bellido
In this paper we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term. We analyze the existence, uniqueness and regularity of…
An Optimal Control Problem for the Steady Nonhomogeneous Asymmetric Fluids
Exequiel Mallea-Zepeda, Elva Ortega-Torres, Élder J. Villamizar-Roa
We study an optimal boundary control problem for the two-dimensional stationary micropolar fluids system with variable density. We control the system by considering boundary contro…