C. Amrouche, V. Girault, and J. Giroire, Dirichlet and neumann exterior problems for the n-dimensional laplace operator an approach in weighted sobolev spaces, Journal de Math??matiques Pures et Appliqu??es, vol.76, issue.1, pp.55-81, 1997.
DOI : 10.1016/S0021-7824(97)89945-X

C. Ne?asová, Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition, Proceedings of Partial Differential Equations and Applications, pp.265-274, 1999.

V. I. Arnold, Mathematical methods of classical mechanics, 1978.

T. Z. Boulmezaoud, Espaces de Sobolev avec poids pour l'??quation de Laplace dans le demi-espace, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.328, issue.3, pp.221-226, 1999.
DOI : 10.1016/S0764-4442(99)80125-6

H. Brezis, Analyse fonctionnelle Collection Mathématiques Appliquées pour la Ma??triseMa??trise. [Collection of Applied Mathematics for the Master's Degree], Théorie et applications. [Theory and applications], 1983.

M. Carmo, Riemannian geometry Mathematics: Theory & Applications, Birkhäuser Boston Inc, 1992.

V. Girault and P. A. Raviart, Finite element methods for Navier-Stokes equations Theory and algorithms, of Springer Series in Computational Mathematics, 1986.

P. Henrici, Applied and computational complex analysis Wiley Classics Library Power series?integration? conformal mapping?location of zeros, 1988.

A. Henrot and M. Pierre, Variation et optimisation de formes : une analyse géométrique, volume 048 of Mathématiques et applications, 2005.
DOI : 10.1007/3-540-37689-5

T. I. Hesla, Collisions of smooth bodies in viscous fluids, a mathematical investigation, 2005.

M. Hillairet, Lack of collision between solid bodies in a 2d constant-density incompressible viscous flow

H. Lamb, Hydrodynamics. Cambridge Mathematical Library, 1993.

J. H. Ortega, L. Rosier, and T. Takahashi, Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid, ESAIM: Mathematical Modelling and Numerical Analysis, vol.39, issue.1, pp.79-108, 2005.
DOI : 10.1051/m2an:2005002
URL : https://hal.archives-ouvertes.fr/hal-00091625

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

J. L. Vázquez and E. Zuazua, Lack of collision in a simplified 1-dimensional model for fluid-solid interaction