3D viscous incompressible fluid around one thin obstacle
C Lacave - Proceedings of the American Mathematical Society, 2015 - ams.org
Proceedings of the American Mathematical Society, 2015•ams.org
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.
References
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.
References
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. References
ams.org
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