Some inverse and control problems for fluids

[Quelques problèmes inverses et de contrôles pour les fluides]

Fernández-Cara, Enrique ; Horsin, Thierry ; Kasumba, Henry

Annales mathématiques Blaise Pascal, Tome 20 (2013), p. 101-138 / Harvested from Numdam

Résumé

Ce papier discute quelques problèmes inverses et de contrôle pour des systèmes de type Navier-Stokes. On insiste sur quelques aspects de nature à la fois théorique et numérique ayant menés récemment à des résultats nouveaux : Problèmes inverses géométriques, Contrôlabilité Eulérienne et Lagrangienne, Réduction de tourbillons par optimisation de forme, etc.

Abstract

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 inverse problems, Eulerian and Lagrangian controllability and vortex reduction oriented to shape optimization.

Détail

Publié le : 2013-01-01

MR 3112241 | Zbl 1290.35325

DOI : https://doi.org/10.5802/ambp.323
Classification:  35R30,  76B75,  76D55

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