5 papers
Weak Reproductive Solutions for a Convection-Diffusion Model Describing a Binary Alloy Solidification Processes
Blanca Climent-Ezquerra, Mario Durán, Elva Ortega-Torres +1
We study the existence of reproductive weak solutions for a system of equations describing a solidification process of a binary alloy confined into a bounded and regular domain in…
On the regularity of weak solution for the Oberbeck-Boussinesq equations
Blanca Climent-Ezquerra, Elva Ortega-Torres, Marco Rojas-Medar
We prove new regularity criteria of the Prodi-Serrin type with weak Lebesgue integrability in both space and time for a viscous active chemical fluid in a bounded domain.
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…
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…
A Distributed Control Problem for a Three-Dimensional Lagrangian Averaged Navier-Stiokes-α MODEL
Elder J. Villamizar-Roa, Elva Ortega-Torres
A distributed optimal control problem with final observation for a three- dimensional Lagrange averaged Navier-Stokes-? model is studied. The solvability of the optimal control pro…