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Browsing by Author "Araujo de Souza, Diego"
Now showing items 1-20 of 22
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Article
A mixed formulation for the direct approximation of L2-weighted controls for the linear heat equation
Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016-02)This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute ...
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Final Degree Project
Control en dimensión finita
Trujillo Alés, Miguel (2023-07)The aim of this work is to give an introduction to control and stabilization theory in finitedimensional spaces. It will ...
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Article
Exact controllability to the trajectories of the one-phase Stefan problem
Bárcena Petisco, Jon Asier; Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2023-08-11)This paper deals with the boundary exact controllability to the trajectories of the one-phase Stefan problem in one spatial ...
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Article
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, 2023-04-30)In this paper, we deal with the global exact controllability to the trajectories of theBoussinesq system posed in 2D or ...
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Article
Inverse problems for linear parabolic equations using mixed formulations – Part 1: Theoretical analysis
Münch, Arnaud; Araujo de Souza, Diego (DeGruyter, 2016-10-11)We consider the reconstruction of the solution of a parabolic equation posed in Ω × ( 0 , T ) , with a bounded ...
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Article
Non null controllability of Stokes equations with memory
Fernández Cara, Enrique; F. Machado, José Lucas; Araujo de Souza, Diego (EDP Sciences, 2020-09-30)In this paper, we consider the null controllability problem for the Stokes equations with a memory term. For any positive ...
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Article
Observability inequalities on measurable sets for the stokes system and applications
Chaves Silva, Felipe Wallison; Araujo de Souza, Diego; Zhang, Can (SIAM, 2020-07-29)In this paper, we establish spectral inequalities on measurable sets of positiveLebesgue measure for the Stokes ...
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Article
On some geometric inverse problems for nonscalar elliptic systems
Araujo, Raul K.C.; Fernández Cara, Enrique; Araujo de Souza, Diego (Elsevier, 2020-07-02)In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability ...
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Article
On the boundary controllability of incompressible Euler fluids with Boussinesq heat effects
Fernández Cara, Enrique; Cardoso Santos, Mauricio; Araujo de Souza, Diego (Springer, 2015-12-30)This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. ...
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Article
On the control of some coupled systems of the Boussinesq kind with few controls
Fernández Cara, Enrique; Araujo de Souza, Diego (AIMS, 2012-06-01)This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq ...
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Article
On the control of the Burgers-alpha model
Dias Araruna, Fágner; Fernández Cara, Enrique; Araujo de Souza, Diego (Project Euclid, 2013-09-15)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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Article
On the controllability of some equations of Sobolev-Galpern type
Chaves Silva, Felipe Wallison; Araujo de Souza, Diego (Elsevier, 2019-09-19)In this paper we deal with the controllability problem for some Sobolev type equations. We show that the equations cannot ...
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Article
On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier–Stokes Equations
Fernández Cara, Enrique; Münch, Arnaud; Araujo de Souza, Diego (Springer, 2016-08-16)The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional ...
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Article
On the one-dimensional nonlinear monodomain equations with moving controls
Kunisch, Karl; Araujo de Souza, Diego (Elsevier, 2018-08-08)In this paper local exact controllability to the trajectories for the one-dimensional monodomain equations with the ...
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Article
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, 2021-06-24)In this paper we study the global controllability of families of the so called non-viscous and viscous Burgers- systems ...
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Chapter of Book
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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Article
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, 2022-10-11)This paper concerns the null controllability of the two-phase 1D Stefan problemwith distributed controls. ...
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Article
Remarks on the controllability of parabolic systems with non-diagonalizable diffusion matrix
Duprez, Michel; González Burgos, Manuel; Araujo de Souza, Diego (AIMS, 2023-04-01)The distributed null controllability for coupled parabolic systems with non-diagonalizable diffusion matrices with a reduced ...
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PhD Thesis
Resultados teóricos y numéricos de control para EDPs lineales y no lineales
Araujo de Souza, Diego (2015-05-15)En esta Tesis presentamos resultados teóricos y numéricos de control para EDPs lineales y no lineales. Primeramente, en ...
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Presentation
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)