Two-dimensional local null controllability of a rigid structure in a Navier-Stokes fluid

Boulakia M; Osses A.

Abstract

We consider the two-dimensional motion of a rigid structure immersed in an incompressible fluid governed by Navier-Stokes equations. The control force acts on a fixed subset of the fluid domain. We prove that our system is null controllable; that is, for small initial data, the system can be driven at rest and the structure can be driven to the origin at a given T > 0. The result holds for a structure symmetric with respect to the center of mass and for initial conditions satisfying strong compatibility conditions. To cite this article: M. Boulakia, A. Osses, C. R. Acad. Sci. Paris, Ser. I 343 (2006). © 2006 Académie des sciences.

Más información

Título según WOS: Two-dimensional local null controllability of a rigid structure in a Navier-Stokes fluid
Título según SCOPUS: Two-dimensional local null controllability of a rigid structure in a Navier-Stokes fluid
Título de la Revista: COMPTES RENDUS MATHEMATIQUE
Volumen: 343
Número: 2
Editorial: ACAD SCIENCES
Fecha de publicación: 2006
Página de inicio: 105
Página final: 109
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S1631073X06001944
DOI:

10.1016/j.crma.2006.05.004

Notas: ISI, SCOPUS