most citedOn the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations

18 citations · 52 across the 7 of their papers we have counts for

collaborators

8 papers

math.OC2024

Numerical null controllability of parabolic PDEs using Lagrangian methods

Enrique Fernandez-Cara, Roberto Morales, Diego A. Souza

In this paper, we study several theoretical and numerical questions concerning the null controllability problems for linear parabolic equations and systems for several dimensions.…

math.AP2024

On the control of a simplified k-e model of turbulence

Pitágoras Pinheiro de Carvalho, Juan Bautista Límaco Ferrel, Enrique Fernandez-Cara

This paper deals with the control of a kind of turbulent flows. We consider a simplified k-e model with distributed controls, locally supported in space. We proof that the system i…

math.OC20245 cited

Remarks on the control of two-phase Stefan free-boundary problems

Raul K. C. Araújo, Enrique Fernández-Cara, Juan Límaco +1

This paper concerns the null controllability of the two-phase 1D Stefan problem with distributed controls. This is a free-boundary problem that models solidification or melting pro…

math.OC202414 cited

Boundary controllability of incompressible Euler fluids with Boussinesq heat effects

Enrique Fernández-Cara, Maurício C. Santos, Diego A. Souza

This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. They will be modeled through the so called Boussinesq…

math.OC202418 cited

On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations

Enrique Fernández-Cara, Arnaud Münch, Diego A. Souza

The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional heat equation, the Stokes equations and the Navier-Stokes e…

math.OC20247 cited

Uniform local null control of the Leray- model

Fágner D. Araruna, Enrique Fernández-Cara, Diego A. Souza

This paper deals with the distributed and boundary controllability of the so called Leray- model. This is a regularized variant of the Navier-Stokes system ( is a small posit…