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Artículo
Remarks on the controllability of some parabolic equations and systems
(Sociedad Española de Matemática Aplicada, 2006)
We present a review of recent results concerning the null controllability of parabolic systems. Among others, we will consider the heat equation, the Burgers, Navier-Stokes and Ginzburg-Landau equations, etc. We will also ...
Artículo
Some inverse and control problems for fluids
(Université Blaise Pascal de Clermont-Ferrand, 2013)
This paper deals with some inverse and control problems for the Navier-Stokes and related systems. We will focus on some particular aspects that have recently led to interesting (theoretical and numerical) results: geometric ...
Artículo
A posteriori error analysis for two non-overlapping domain decomposition techniques
(Elsevier, 2009-06)
This paper is devoted to the construction of fast solvers for penalty domain decomposition techniques, based upon a posteriori error analysis. We introduce a penalty non-overlapping domain decomposition method (ddm) motivated ...
Artículo
Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
(Elsevier, 2004-06-15)
We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a cylinder whose diameter ε tends to zero. The cylinder is assumed to be fixed (homogeneous Dirichlet ...
Artículo
Local and global strong solution by the semi-Galerkin method for the model of mass diffusion
(Sociedade Brasileira de Matemática, 2006)
In this work, we present some results for local and global in time solutions (defined in the time interval (0, T) with T < +∞ or T = +∞) for the model of mass diffusion by using the spectral semi-Galerkin approximations. ...