18 citations · 68 across the 13 of their papers we have counts for
13 papers
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.…
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…
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…
Some Inverse Problems for the Burgers Equation and Related Systems
J. Apraiz, A. Doubova, E. Fernández-Cara +1
In this article we deal with one-dimensional inverse problems concerning the Burgers equation and some related nonlinear systems (involving heat effects and/or variable density). I…
On the Uniform Controllability of the Inviscid and Viscous Burgers- Systems
Raul K. C. Araújo, Enrique Fernández-Cara, Diego A. Souza
This work is devoted to prove the global uniform exact controllability of the inviscid and viscous Burgers- systems. The state is the solution to a regularized Burgers equat…
Small-time global exact controllability to the trajectories for the viscous Boussinesq system
F. W. Chaves-Silva, E. Fernández-Cara, K. Le Balc'h +2
In this paper, we deal with the global exact controllability to the trajectories of the Boussinesq system. We consider 2D and 3D smooth bounded domains. The velocity field of the f…
Numerical controllability of the wave equation through primal methods and Carleman estimates
Nicolae Cîndea, Enrique Fernandez-Cara, Arnaud Munch
This paper deals with the numerical computation of boundary null controls for the 1D wave equation with a potential. The goal is to compute an approximation of controls that drive…
Null controllability for a parabolic-elliptic coupled system
E. Fernández-Cara, J. Limaco, S. B. de Menezes
In this paper, we prove the null controllability of some parabolic-elliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The argumen…