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Why viscous fluids adhere to rugose walls: A mathematical explanation
(ScienceDirect, 2002-04-29)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall covered by microscopic asperities because, due to the viscous dissipation, the surface irregularities ...
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Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case
(EDP Sciences, 2006-07)
This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with boundary conditions of the form ∂y ∂n + f(y) = 0. We ...
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Insensitizing controls for a large-scale ocean circulation model
(Elsevier, 2003-08-15)
We consider here a linear quasi-geostrophic ocean model. We look for controls insensitizing (resp. ε-insensitizing) an observation function of the state. The existence of such controls is equivalent to a null controllability ...
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Sobre la paralelización de problemas elípticos
(Sociedad Española de Matemática Aplicada, 2005-03)
En este trabajo se recogen dos de los problemas que aparecen a la hora de resolver numéricamente las ecuaciones de Navier-Stokes. La discretización en la variabletemporal en dichas ecuaciones nos conduce, en cada etapa ...
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Neutrinos: medio siglo de sorpresas
(Real Sociedad Española de Física, 2003)
Artículo
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Why viscous fluids adhere to rugose walls
(Elsevier, 2003-04-10)
The main purpose of this paper is to justify rigorously the following assertion: A viscous fluid cannot slip on a wall covered by microscopic asperities because, due to the viscous dissipation, the surface irregularities ...
Artículo
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La enseñanza de las Matemáticas a debate: a) La motivación de la enseñanza a través de las aplicaciones b) La enseñanza de las Matemáticas en Europa
(Sociedad Española de Matemática Aplicada, 2000-12)
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Null controllability of the heat equation with boundary Fourier conditions: the linear case
(Société de Mathématiques Appliquées et Industrielles, 2006-06-20)
In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form . We consider distributed controls with support in a small set and nonregular ...
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Control theory: history, mathematical achievements and perspectives
(Sociedad Española de Matemática Aplicada, 2003-12)
These notes are devoted to present some of the mathematical milestones of Control Theory. To do that, we first overview its origins and some of the main mathematical achievements. Then, we discuss the main domains of ...
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Semi-Galerkin approximation and strong solutions to the equations of the nonhomogeneous asymmetric fluids
(Elsevier, 2003-11)
This paper analyzes an initial/boundary value problem for a system of equations modelling the nonstationary flow of a nonhomogeneous incompressible asymmetric (polar) fluid. Under conditions similar to those usually imposed ...