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Artículo
On the controllability of the heat equation with nonlinear boundary Fourier conditions
(Elsevier, 2004-01-20)
In this paper we analyze the approximate and null controllability of the classical heat equation with nonlinear boundary conditions of the form ∂y ∂n + f(y) = 0 and distributed controls, with support in a small set. We ...
Artículo
On the controllability of parabolic systems with a nonlinear term involving the state and the gradient
(Society for Industrial and Applied Mathematics, 2002)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of RN with Dirichlet boundary conditions. We analyze the controllability problem ...
Artículo
Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
(EDP Sciences, 2006-07)
In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman ...
Artículo
Null controllability of the heat equation with boundary Fourier conditions: the linear case
(EDP Sciences, 2006-07)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form ∂y ∂n + β y = 0. We consider distributed controls with support in a small ...
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-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
Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case
(EDP Sciences, 2006-07)
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with boundary conditions of the form ∂y ∂n + f(y) = 0. We ...
Artículo
Controllability results for some nonlinear coupled parabolic systems by one control force
(IOS Press, 2006)
In this paper, we present new controllability results for some nonlinear coupled parabolic systems considered in a bounded domain Ω of IRN (with N ≥ 1 being arbitrary) when the control force acts on a unique equation ...
Artículo
Null controllability of the heat equation with boundary Fourier conditions: the linear case
(Société de Mathématiques Appliquées et Industrielles, 2006-06-20)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form . We consider distributed controls with support in a small set and nonregular ...
Artículo
A geometric inverse problem for the Boussinesq system
(American Institute of Mathematical Sciences, 2006-11)
In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a fluid governed by the stationary Boussinesq equations. First, we establish a uniqueness result. Then, ...