3D viscous incompressible fluid around one thin obstacle
Analysis of PDEs
2013-06-21 v2
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.
Keywords
Cite
@article{arxiv.1112.4147,
title = {3D viscous incompressible fluid around one thin obstacle},
author = {Christophe Lacave},
journal= {arXiv preprint arXiv:1112.4147},
year = {2013}
}