NameAraujo de Souza, Diego
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryProfesor Contratado Doctor Interino
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  • No. publications

    22

  • No. visits

    1957

  • No. downloads

    1050


 

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Exact controllability to the trajectories of the one-phase Stefan problem

Bárcena Petisco, Jon Asier; Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2023)
This paper deals with the boundary exact controllability to the trajectories of the one-phase Stefan problem in one spatial ...
Final Degree Project
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Control en dimensión finita

Trujillo Alés, Miguel; Araujo de Souza, Diego (2023)
The aim of this work is to give an introduction to control and stabilization theory in finitedimensional spaces. It will ...
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Global controllability of the bousiinesq system with Navier-slip-with-friction and Robin boundary conditions

Chaves Silva, Felipe Wallison; Fernández Cara, Enrique; Balc'h. K. Le; Ferreira Machado, José Lucas; Araujo de Souza, Diego (SIAM, 2023)
In this paper, we deal with the global exact controllability to the trajectories of theBoussinesq system posed in 2D or ...
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Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix

Duprez, Michel; González Burgos, Manuel; Araujo de Souza, Diego (AIMS, 2023)
The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced ...
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Remarks on the control of two-phase Stefan free-boundary problems

Araujo, Raul K.C.; Fernández Cara, Enrique; Límaco, Juan; Araujo de Souza, Diego (SIAM, 2022)
This paper concerns the null controllability of the two-phase 1D Stefan problemwith distributed controls. ...
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Switching Controls for Analytic Semigroups and Applications to Parabolic Systems

Chaves Silva, Felipe Wallison; Ervedoza, Sylvain; Araujo de Souza, Diego (SIAM, 2021)
In this work, we extend the analysis of the problem of switching controls proposedin [E. Zuazua,J. Eur. Math. Soc. (JEMS), ...
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On the uniform controllability for a family of non-viscous and viscous Burgers- α systems

Araújo, Raul K.C.; Fernández Cara, Enrique; Araujo de Souza, Diego (E.D.P. Sciences, 2021)
In this paper we study the global controllability of families of the so called non-viscous and viscous Burgers- systems ...
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Non null controllability of Stokes equations with memory

Fernández Cara, Enrique; F. Machado, José Lucas; Araujo de Souza, Diego (EDP Sciences, 2020)
In this paper, we consider the null controllability problem for the Stokes equations with a memory term. For any positive ...
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Observability inequalities on measurable sets for the stokes system and applications

Chaves Silva, Felipe Wallison; Araujo de Souza, Diego; Zhang, Can (SIAM, 2020)
In this paper, we establish spectral inequalities on measurable sets of positiveLebesgue measure for the Stokes ...
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On some geometric inverse problems for nonscalar elliptic systems

Araujo, Raul K.C.; Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2020)
In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability ...
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On the controllability of some equations of Sobolev-Galpern type

Chaves Silva, Felipe Wallison; Araujo de Souza, Diego (Elsevier, 2019)
In this paper we deal with the controllability problem for some Sobolev type equations. We show that the equations cannot ...
Chapter of Book
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Remarks on the Control of Family of b–Equations

Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2019)
Presents cutting-edge results in the areas of control theory and PDEs, giving a broad picture of recent advances Contains contributions from leading experts Includes theoretical studies and models for applications
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On the one-dimensional nonlinear monodomain equations with moving controls

Kunisch, Karl; Araujo de Souza, Diego (Elsevier, 2018)
In this paper local exact controllability to the trajectories for the one-dimensional monodomain equations with the ...
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Inverse problems for linear parabolic equations using mixed formulations – Part 1: Theoretical analysis

Münch, Arnaud; Araujo de Souza, Diego (DeGruyter, 2016)
We consider the reconstruction of the solution of a parabolic equation posed in Ω × ( 0 , T ) , with a bounded open subset ...
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On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier–Stokes Equations

Fernández Cara, Enrique; Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016)
The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional ...
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A mixed formulation for the direct approximation of L2-weighted controls for the linear heat equation

Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016)
This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute ...
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On the boundary controllability of incompressible Euler fluids with Boussinesq heat effects

Fernández Cara, Enrique; Cardoso Santos, Mauricio; Araujo de Souza, Diego (Springer, 2015)
This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. ...
PhD Thesis
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Resultados teóricos y numéricos de control para EDPs lineales y no lineales

Araujo de Souza, Diego; Fernández Cara, Enrique (2015)
En esta Tesis presentamos resultados teóricos y numéricos de control para EDPs lineales y no lineales. Primeramente, en ...
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Uniform local null control of the Leray-α model

Dias Araruna, Fágner; Fernández Cara, Enrique; Araujo de Souza, Diego (EDP Sciences, 2014)
This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized ...
Presentation
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Some recent results concerning the theoretical and numerical controllability of PDEs

Fernández Cara, Enrique; Münch, Arnaud; Araujo de Souza, Diego; Dias Araruna, Fágner; Cardoso Santos, Mauricio; Limaco Ferrel, Juan; Dias Bezerra de Menezes, Silvano (2014)
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On the control of the Burgers-alpha model

Dias Araruna, Fágner; Fernández Cara, Enrique; Araujo de Souza, Diego (Project Euclid, 2013)
This work is devoted to proving the local null controllability of the Burgers- α model. The state is the solution to a ...
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On the control of some coupled systems of the Boussinesq kind with few controls

Fernández Cara, Enrique; Araujo de Souza, Diego (AIMS, 2012)
This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq ...