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Artículo
On the control of the Burgers-alpha model
(Project Euclid, 2013-09-15)
This work is devoted to proving the local null controllability of the Burgers- α model. The state is the solution to a regularized Burgers equation, where the transport term is of the form z y x , z = ( I d ...
Artículo
Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation
(Springer, 2016-08-15)
This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at x=0). In the main result ...
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
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
(American Institute of Mathematical Sciences, 2012-09)
This paper deals with the numerical computation of distributed null controls for semilinear 1D heat equations, in the sublinear and slightly superlinear cases. Under sharp growth assumptions, the existence of controls has ...
Artículo
A heuristic method for simultaneous tower and pattern-free field optimization on solar power systems
(Elsevier, 2015-05)
A heuristic method for optimizing a solar power tower system is proposed, in which both heliostat field (heliostat locations and number) and the tower (tower height and receiver size) are simultaneously considered. Maximizing ...
Artículo
Boundary controllability of parabolic coupled equations
(Elsevier, 2010-10-01)
This paper is concerned with the boundary controllability of non-scalar linear parabolic systems. More precisely, two coupled one-dimensional parabolic equations are considered. We show that, in this framework, boundary ...
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 ...
Artículo
Analysis and optimal control of some solidification processes
(AIMS, 2014-10-04)
In this paper we consider a mathematical model that describes the solidi cation of a binary alloy. We prove some existence and uniqueness results for a regularized problem, depending on a small parameter ". We also analyze ...
Artículo
Local null controllability of a 1D Stefan problem
(Springer, 2018)
The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with ...