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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
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
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
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
Global Carleman inequalities for parabolic systems and applications to controllability
(Society for Industrial and Applied Mathematics, 2006)
This paper has been conceived as an overview on the controllability properties of some relevant (linear and nonlinear) parabolic systems. Specifically, we deal with the null controllability and the exact controllability ...