R. A. Adams, Sobolev spaces Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], Pure and Applied Mathematics, vol.65, 1975.

M. Boulakia, Existence of weak solutions for the motion of an elastic structure in an incompressible viscous fluid, Comptes Rendus Mathematique, vol.336, issue.12, pp.336985-990, 2003.
DOI : 10.1016/S1631-073X(03)00235-8

H. Brezis, Analyse fonctionnelle, Théorie et applications . [Theory and applications], 1983.

A. Chambolle, B. Desjardins, M. J. Esteban, and C. Grandmont, Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate, Journal of Mathematical Fluid Mechanics, vol.7, issue.3, pp.368-404, 2005.
DOI : 10.1007/s00021-004-0121-y

C. Conca, J. San-martín, H. , and M. Tucsnak, Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid, Comm. Partial Differential Equations, vol.25, pp.5-61019, 2000.

D. Coutand and S. Shkoller, Motion of an Elastic Solid inside an Incompressible Viscous Fluid, Archive for Rational Mechanics and Analysis, vol.52, issue.1, pp.25-102, 2005.
DOI : 10.1007/s00205-004-0340-7

D. Coutand and S. Shkoller, The Interaction between Quasilinear Elastodynamics and the Navier-Stokes Equations, Archive for Rational Mechanics and Analysis, vol.179, issue.3, pp.303-352, 2006.
DOI : 10.1007/s00205-005-0385-2

H. B. Da-veiga, On the Existence of Strong Solutions to a Coupled Fluid-Structure Evolution Problem, Journal of Mathematical Fluid Mechanics, vol.6, issue.1, pp.21-52, 2004.
DOI : 10.1007/s00021-003-0082-5

M. Dauge, Stationary Stokes and Navier???Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations, SIAM Journal on Mathematical Analysis, vol.20, issue.1, pp.74-97, 1989.
DOI : 10.1137/0520006

B. Desjardins and M. J. Esteban, Existence of Weak Solutions for the Motion of Rigid Bodies in a Viscous Fluid, Archive for Rational Mechanics and Analysis, vol.146, issue.1, pp.59-71, 1999.
DOI : 10.1007/s002050050136

B. Desjardins and M. J. Esteban, On Weak Solutions for Fluid???Rigid Structure Interaction: Compressible and Incompressible Models, Communications in Partial Differential Equations, vol.40, issue.1, pp.1399-1413, 2000.
DOI : 10.1007/BF01094193

B. Desjardins, M. J. Esteban, C. Grandmont, and P. L. Tallec, Weak solutions for a fluid-elastic structure interaction model, Revista Matem??tica Complutense, vol.14, issue.2, pp.523-538, 2001.
DOI : 10.5209/rev_REMA.2001.v14.n2.17030

G. P. Galdi, On the Motion of a Rigid Body in a Viscous Liquid: A Mathematical Analysis with Applications, Handbook of mathematical fluid dynamics, pp.653-791, 2002.
DOI : 10.1016/S1874-5792(02)80014-3

V. Girault and P. Raviart, Finite element methods for Navier-Stokes equations Theory and algorithms, 1986.

C. Grandmont and Y. Maday, Existence for an Unsteady Fluid-Structure Interaction Problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.34, issue.3, pp.609-636, 2000.
DOI : 10.1051/m2an:2000159

M. D. Gunzburger, H. Lee, and G. A. Seregin, Global Existence of Weak Solutions for Viscous Incompressible Flows around a Moving Rigid Body in Three Dimensions, Journal of Mathematical Fluid Mechanics, vol.2, issue.3, pp.219-266, 2000.
DOI : 10.1007/PL00000954

K. Hoffmann and V. N. Starovoitov, On a motion of a solid body in a viscous fluid. Two-dimensional case, Adv. Math. Sci. Appl, vol.9, issue.2, pp.633-648, 1999.

J. Lions and E. Magenes, Non-homogeneous boundary value problems and applications, 1972.
DOI : 10.1007/978-3-642-65161-8

J. Lions and E. Magenes, Non-homogeneous boundary value problems and applications, 1972.
DOI : 10.1007/978-3-642-65161-8

J. A. San-martín, V. Starovoitov, and M. Tucsnak, Global Weak Solutions??for the Two-Dimensional Motion??of Several Rigid Bodies??in an Incompressible Viscous Fluid, Archive for Rational Mechanics and Analysis, vol.161, issue.2, pp.113-147, 2002.
DOI : 10.1007/s002050100172

D. Serre, Chute libre d???un solide dans un fluide visqueux incompressible. existence, Japan Journal of Applied Mathematics, vol.52, issue.1, pp.99-110, 1987.
DOI : 10.1007/BF03167757

J. Simon, Compact sets in the spaceL p (O,T; B), Annali di Matematica Pura ed Applicata, vol.287, issue.1, pp.65-96, 1987.
DOI : 10.1007/BF01762360

T. Takahashi and M. Tucsnak, Global Strong Solutions for the Two-Dimensional Motion of an Infinite Cylinder in a Viscous Fluid, Journal of Mathematical Fluid Mechanics, vol.6, issue.1, pp.53-77, 2004.
DOI : 10.1007/s00021-003-0083-4

URL : https://hal.archives-ouvertes.fr/hal-00141195

T. Takahashi, Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain, Adv. Differential Equations, vol.8, issue.12, pp.1499-1532, 2003.

R. Temam, Navier Stokes Equations: Theory and Numerical Analysis, Studies in Mathematics and its Applications, 1977.
DOI : 10.1115/1.3424338