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Mostrando ítems 1-10 de 14
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
Null controllability of the semilinear heat equation
(EDP Sciences, 1997-04)
This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control is exerted either on a small subdomain or on a portion of the boundary. We prove that the system is ...
Artículo
On the controllability of a free-boundary problem for the 1D heat equation
(Elsevier, 2016-01)
This paper deals with the local null control of a free-boundary problem for the classical 1D heat equation with distributed controls, locally supported in space. In the main result we prove that, if the final time T is ...
Artículo
On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier–Stokes Equations
(Springer, 2016-08-16)
The aim of this work is to present some strategies to solve numerically controllability problems for the two-dimensional heat equation, the Stokes equations and the Navier–Stokes equations with Dirichlet boundary conditions. ...
Artículo
Null controllability of linear heat and wave equations with nonlocal spatial terms
(Society for Industrial and Applied Mathematics, 2016)
In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are ...
Artículo
Controlling linear and semilinear systems formed by one elliptic and two parabolic PDEs with one scalar control
(EDP Sciences, 2016)
In this paper, we prove controllability results for some linear and semilinear systems where we find two parabolic PDEs and one elliptic PDE and we act through one locally supported in space scalar control. The arguments ...
Artículo
A mixed formulation for the direct approximation of L2-weighted controls for the linear heat equation
(Springer, 2016-02)
This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute approximations of controls that drive the solution from a prescribed initial state to zero at a given ...
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
Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences
(Elsevier, 2014-10-01)
Let (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B2L(C, Y ), Y being some suitable extrapolation space of X, and u 2 L2 (0, T; C). Under some assumptions on the ...
Artículo
Controllability of linear and semilinear non-diagonalizable parabolic systems
(EDP Sciences, 2015)
This paper is concerned with the controllability of some (linear and semilinear) nondiagonalizable parabolic systems of PDEs. We will show that the well known null controllability properties of the classical heat equation ...