18 citations · 96 across the 20 of their papers we have counts for
8 papers · 2 filters
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.…
A mixed formulation for the direct approximation of -weighted controls for the linear heat equation
Arnaud Münch, Diego A. Souza
This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute approximations of controls that drive the solution from a pres…
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…
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…
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…
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…
On the control of the Burgers-alpha model
Fágner D. Araruna, Enrique Fernández-Cara, Diego A. Souza
This work is devoted to prove the local null controllability of the Burgers- model. The state is the solution to a regularized Burgers equation, where the transport term is of t…
On the control of some coupled systems of the Boussinesq kind with few controls
Enrique Fernández-Cara, Diego A. Souza
This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq kind, with a reduced number of controls. In the state sys…