3D viscous incompressible fluid around one thin obstacle

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...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2015-05, Vol.143 (5), p.2175-2191
Main Author: LACAVE, C.
Format: Article
Language:English
Subjects:
Analysis of PDEs
Mathematics
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Summary: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2014-12409-9