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Artículo
Numerical null controllability of a semi-linear heat equation via a least squares method
(Elsevier, 2011-08)
This note deals with the computation of distributed null controls for a semi-linear 1D heat equation, in the sublinear and slightly superlinear cases. Under sharp growth assumptions, the existence of controls has been obtained ...
Artículo
Several questions concerning the control of parabolic systems
(Sociedad Española de Matemática Aplicada, 2008-03)
This paper is devoted to recall several recent results concerning the null controllability of some parabolic systems. Among others, we will consider the classical heat equation, the Burgers, Navier-Stokes and ...
Artículo
Null and approximate controllability for weakly blowing up semilinear heat equations
(Elsevier, 2000-09)
We consider the semilinear heat equation in a bounded domain of Rd , with control on a subdomain and homogeneous Dirichlet boundary conditions. We prove that the system is null-controllable at any time provided a globally ...
Artículo
New results on the Stackelberg-Nash exact control of linear parabolic equations
(Elsevier, 2017-06)
This paper is concerned with Stackelberg-Nash strategies to control parabolic equations. We have one control, the leader, that is responsible for a null controllability property; additionally, we have a couple of controls, ...
Artículo
An inverse problem in elastography involving Lamé systems
(De Gruyter, 2018-02)
This paper deals with some inverse problems for the linear elasticity system with origin in elastography: we try to identify the material coefficients from some extra information on (a part of) the boundary. In our main ...
Artículo
Null-exact controllability of a semilinear cascade system of parabolic-hyperbolic equations
(American Institute of Mathematical Sciences, 2006-09)
This paper is concerned with the null-exact controllability of a cascade system formed by a semilinear heat and a semilinear wave equation in a cylinder Ω×(0, T). More precisely, we intend to drive the solution of the ...
Artículo
Numerical Stackelberg--Nash Control for the Heat Equation
(SIAM, 2020-01)
This paper deals with a strategy to solve numerically control problems of theStackelberg--Nash kind for heat equations with Dirichlet boundary conditions. We assume thatwe can act on the system ...
Artículo
Uniform local null control of the Leray-α model
(EDP Sciences, 2014-10)
This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized variant of the Navier−Stokes system (α is a small positive parameter) that can also be viewed as a ...
Artículo
Some controllability results for the N-Dimensional Navier-Stokes and Boussinesq systems with N-1 scalar controls
(Society for Industrial and Applied Mathematics, 2006)
In this paper we deal with some controllability problems for systems of the Navier-Stokes and Boussinesq kind with distributed controls supported in small sets. Our main aim is to control N-dimensional systems (N + 1 scalar ...
Artículo
Non null controllability of Stokes equations with memory
(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 final time T > 0, we construct initial conditions such that the null controllability does not hold ...