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The influence of boundary conditions on the contact problem in a 3D Navier-Stokes Flow

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.

preprint2013arXivOpen access
David Gérard-VaretMatthieu HillairetChao Wang
math.AP
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Open access3 authors1 topic
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David Gérard-VaretMatthieu HillairetChao Wang

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