3D VISCOUS INCOMPRESSIBLE FLUID AROUND ONE THIN OBSTACLE

被引：6

作者：

Lacave, C. ^{[1
]}

机构：

[1] Univ Paris 07, Inst Math Jussieu Paris Rive Gauche, CNRS, UMR 7586, F-75205 Paris 13, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 05期

关键词：

Navier-Stokes equations; thin obstacles; removable singularity; FLAT-PLATE; FLOW; CURVE;

D O I：

10.1090/S0002-9939-2014-12409-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2175 / 2191

页数：17

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