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Artículo
Time and space parallelization of the Navier-Stokes equations
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2005)
In this paper, we will be mainly concerned with a parallel algorithm (in time and space) which is used to solve the incompressible Navier-Stokes problem. This relies on two main ideas: (a) a splitting of the main differential ...
Artículo
A result concerning controllability for the Navier-Stokes equations
(Society for Industrial and Applied Mathematics, 1995-07)
The main goal of this paper is to present a new result concerning controllability of the time-dependent Navier-Stokes equations. Here, the control variable is the trace of the velocity field on a "small" part of the boundary. ...
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 review of basic theoretical results concerning the Navier-Stokes and other similar equations
(Sociedad Española de Matemática Aplicada, 2005-06)
These notes are devoted to provide an introductory approach to the Navier-Stokes and some other related equations. Most concepts and arguments recalled below are very general and we believe that this presentation can ...
Artículo
Motivation, analysis and control of the variable density Navier-Stokes equations
(AIMS, 2012-12)
Résultats d’unicité pour des problèmes pseudomonotones avec p > 2. Nous considérons un opérateur pseudomonotone du type −div(b(x, u)|∇ u| p−2∇ u), avec 1 <p< +∞ et b(x, s) une fonction Lipschitzienne en s qui vérifie 0 < ...