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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
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
On the controllability of some equations of Sobolev-Galpern type
(Elsevier, 2019-09-19)
In this paper we deal with the controllability problem for some Sobolev type equations. We show that the equations cannot be driven to zero if the control region is strictly supported within the domain. Nevertheless, we ...
Artículo
Controllability results for cascade systems of m coupled parabolic PDEs by one control force
(European Mathematical Society, 2010)
In this paper we will analyze the controllability properties of a linear coupled parabolic system of m equations when a unique distributed control is exerted on the system. We will see that, when a cascade system is ...
Artículo
On the boundary controllability of incompressible Euler fluids with Boussinesq heat effects
(Springer, 2015-12-30)
This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. They will be modeled through the so-called Boussinesq approximation. In the zero heat diffusion ...
Artículo
Some controllability results for linear viscoelastic fluids
(Society for Industrial and Applied Mathematics, 2012)
We analyze the controllability properties of systems which provide a description, at first approximation, of a kind of viscoelastic fluid. We consider linear Maxwell fluids. First, we establish the large time approximate-finite ...