3D viscous incompressible fluid around one thin obstacle

Details 3D viscous incompressible fluid around one thin obstacle 3D viscous incompressible fluid around one thin obstacle

2011-12-18

arxiv.org/abs/1112.4147v1

Mathematics

Analysis of PDEs

Scientific paper

In this article, we consider Leray solutions of the Navier-Stokes equations
in the exterior of one obstacle in 3D and we study the asymptotic behavior of
these solutions when the obstacle shrinks to a curve or to a surface. In
particular, we will prove that a curve has no effect on the motion of a viscous
fluid, so it is an erasable singularity for these equations.

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