caa a22 4500 463171144 CHVBK 20180406164813.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s00021-005-0201-7 doi (NATIONALLICENCE)springer-10.1007/s00021-005-0201-7 Boulakia Muriel Laboratoire de Mathématiques Appliquées, Université de Versailles-St-Quentin, 45 avenue des Etats Unis, 78035, Versailles Cedex, France aut Existence of Weak Solutions for the Three-Dimensional Motion of an Elastic Structure in an Incompressible Fluid [Elektronische Daten] [Muriel Boulakia] Abstract.: We study here the three-dimensional motion of an elastic structure immersed in an incompressible viscous fluid. The structure and the fluid are contained in a fixed bounded connected set Ω. We show the existence of a weak solution for regularized elastic deformations as long as elastic deformations are not too important (in order to avoid interpenetration and preserve orientation on the structure) and no collisions between the structure and the boundary occur. As the structure moves freely in the fluid, it seems natural (and it corresponds to many physical applications) to consider that its rigid motion (translation and rotation) may be large. The existence result presented here has been announced in [4]. Some improvements have been provided on the model: the model considered in [4] is a simplified model where the structure motion is modelled by decoupled and linear equations for the translation, the rotation and the purely elastic displacement. In what follows, we consider on the structure a model which represents the motion of a structure with large rigid displacements and small elastic perturbations. This model, introduced by [15] for a structure alone, leads to coupled and nonlinear equations for the translation, the rotation and the elastic displacement. Birkhäuser Verlag, Basel, 2006 fluid-structure interaction nationallicence existence of weak solutions nationallicence incompressible Navier-Stokes equations nationallicence Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/2(2007-06-01), 262-294 1422-6928 9:2<262 2007 9 21 https://doi.org/10.1007/s00021-005-0201-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00021-005-0201-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Boulakia Muriel Laboratoire de Mathématiques Appliquées, Université de Versailles-St-Quentin, 45 avenue des Etats Unis, 78035, Versailles Cedex, France aut NATIONALLICENCE 773 0- Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/2(2007-06-01), 262-294 1422-6928 9:2<262 2007 9 21 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer