%0 Journal Article
%T The influence of boundary conditions on the contact problem in a 3D Navier-Stokes Flow
%A David G¨Śrard-Varet
%A Matthieu Hillairet
%A Chao Wang
%J Mathematics
%D 2013
%I arXiv
%X We consider the free fall of a sphere above a wall in a viscous incompressible fluid. We investigate the influence of boundary conditions on the finite-time occurrence of contact between the sphere and the wall. We prove that slip boundary conditions enable to circumvent the "no-collision" paradox associated with no-slip boundary conditions. We also examine the case of mixed boundary conditions.
%U http://arxiv.org/abs/1302.7098v1