Some inverse and control problems for fluids
Annales mathématiques Blaise Pascal, Volume 20 (2013) no. 1, pp. 101-138.

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.

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.

DOI: 10.5802/ambp.323
Classification: 35R30,  76B75,  76D55
Keywords: Navier-Stokes equations, Euler equations, inverse problems, exact and approximate controllability, Lagrangian controllability, vortex reduction, shape optimization
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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Enrique Fernández-Cara; Thierry Horsin; Henry Kasumba. Some inverse and control problems for fluids. Annales mathématiques Blaise Pascal, Volume 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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