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Mostrando ítems 1-10 de 10
Artículo
Null controllability for a parabolic-elliptic coupled system
(Springer, 2013-06)
In this paper, we prove the null controllability of some parabolicelliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-point reformulation and ...
Artículo
Controls insensitizing the observation of a quasi-geostrophic ocean model
(Society for Industrial and Applied Mathematics, 2005)
We consider a linear quasi-geostrophic ocean model with partially known initial conditions. We search for controls that make the observation locally insensitive to the perturbations of the initial data. Their existence is ...
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
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
Stackelberg-Nash exact controllability for linear and semilinear parabolic equations
(EDP Sciences, 2015)
This paper deals with the application of Stackelberg–Nash strategies to the control of parabolic equations. We assume that we can act on the system through a hierarchy of controls. A first control (the leader) is assumed ...
Artículo
Theoretical and numerical local null controllability of a Ladyzhenskaya-Smagorinsky model of turbulence
(Springer, 2015-12)
This paper deals with the control of a differential turbulence model of the Ladyzhenskaya–Smagorinsky kind. In the equations we find local and nonlocal nonlinearities: the usual transport terms and a turbulent viscosity ...
Artículo
Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficientes
(SMAI, 2002-06)
The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the ...
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 ...
Artículo
Remarks on the control of two-phase Stefan free-boundary problems
(SIAM, 2022-10-11)
This paper concerns the null controllability of the two-phase 1D Stefan problemwith distributed controls. This is a free-boundary problem that models solidification or meltingprocesses. In each ...