Some inverse and control problems for fluids

Enrique Fernández-Cara; Thierry Horsin; Henry Kasumba

doi:10.5802/ambp.323

Some inverse and control problems for fluids
[Quelques problèmes inverses et de contrôles pour les fluides]

Enrique Fernández-Cara ¹ ; Thierry Horsin ² ; Henry Kasumba ³

¹ Dpto. EDAN University of Sevilla Aptdo. 1160, 41080 Sevilla SPAIN
² IMath - Ingénierie Mathématique CNAM, 292, rue Saint Martin - case courrier 2D5000 75141 Paris Cedex 03 FRANCE
³ Radon Institute of Industrial and Applied Mathematics Austrian Academy of Sciences Alternbergstrasse 69 A-4040 Linz AUSTRIA

Annales mathématiques Blaise Pascal, Tome 20 (2013) no. 1, pp. 101-138.

Résumé
Abstract

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.

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.

MR Zbl

DOI : 10.5802/ambp.323

Classification : 35R30, 76B75, 76D55
Mots clés : Navier-Stokes equations, Euler equations, inverse problems, exact and approximate controllability, Lagrangian controllability, vortex reduction, shape optimization

Affiliations des auteurs :

Enrique Fernández-Cara ¹ ; Thierry Horsin ² ; Henry Kasumba ³

¹ Dpto. EDAN University of Sevilla Aptdo. 1160, 41080 Sevilla SPAIN
² IMath - Ingénierie Mathématique CNAM, 292, rue Saint Martin - case courrier 2D5000 75141 Paris Cedex 03 FRANCE
³ Radon Institute of Industrial and Applied Mathematics Austrian Academy of Sciences Alternbergstrasse 69 A-4040 Linz AUSTRIA

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     pages = {101--138},
     publisher = {Annales math\'ematiques Blaise Pascal},
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Enrique Fernández-Cara; Thierry Horsin; Henry Kasumba. Some inverse and control problems for fluids. Annales mathématiques Blaise Pascal, Tome 20 (2013) no. 1, pp. 101-138. doi : 10.5802/ambp.323. https://ambp.centre-mersenne.org/articles/10.5802/ambp.323/

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