3D viscous incompressible fluid around one thin obstacle

Lacave, C.

doi:10.1090/S0002-9939-2014-12409-9

3D viscous incompressible fluid around one thin obstacle
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Proc. Amer. Math. Soc. 143 (2015), 2175-2191 Request permission

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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