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Mostrando ítems 1-10 de 35
Artículo
Quantitative Fattorini-Hautus test and minimal null control time for parabolic problems
(Elsevier, 2018)
This paper investigates the link between the null controllability property for some abstract parabolic problems and an inequality that can be seen as a quantified Fattorini-Hautus test. Depending on the hypotheses made on ...
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
Recent results on the controllability of linear coupled parabolic problems: A survey
(American Institute of Mathematical Sciences, 2011-09)
This paper tries to summarize recent results on the controllability of systems of (several) parabolic equations. The emphasis is placed on the extension of the Kalman rank condition (for finite dimensional systems of ...
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
A result concerning controllability for the Navier-Stokes equations
(Society for Industrial and Applied Mathematics, 1995-07)
The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes equations. Here, the control variable is the trace of the velocity field on a "small" part of the boundary. ...
Artículo
Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity
(Elsevier, 2002-10-15)
This Note is concerned with the existence of insensitizing controls for a semilinear heat equation when we consider nonlinearities that behave superlinearly at infinity. We prove the existence of a control insensitizing ...
Artículo
On the boundary controllability of non-scalar parabolic systems
(Elsevier, 2009-07)
This Note is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional linear parabolic equations are considered. We show that, with boundary controls, ...
Artículo
Sharp estimates of the one-dimensional boundary control cost for parabolic systems and application to the N-dimensional boundary null controllability in cylindrical domains
(Society for Industrial and Applied Mathematics, 2014)
In this paper we consider the boundary null controllability of a system of n parabolic equations on domains of the form Ω = (0, π) × Ω2 with Ω2 a smooth domain of RN−1, N > 1. When the control is exerted on {0} × ω2 with ...
Artículo
Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity
(Taylor & Francis, 2004)
In this paper we consider a semilinear heat equation (in a bounded domain Ω of IRN ) with a nonlinearity that has a superlinear growth at infinity. We prove the existence of a control, with support in an open set ω ⊂ Ω, ...
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 ...