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arXiv · 1112.4147

3D viscous incompressible fluid around one thin obstacle

Christophe Lacave
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Abstract

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 solid curve has no effect on the motion of a viscous fluid, so it is a removable singularity for these equations.

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Christophe Lacave. 2013-06-20. 3D viscous incompressible fluid around one thin obstacle. https://arxiv.org/abs/1112.4147

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