Global Strong Solutions for the Two-Dimensional Motion of an Infinite Cylinder in a Viscous Fluid

被引：90

作者：

Takahashi, Takeo ^{[1
,2
]}

Tucsnak, Marius ^{[1
,2
]}

机构：

[1] Fac Sci, Inst Elie Cartan, BP239, F-54506 Vandoeuvre Les Nancy, France

[2] INRIA Lorraine, Projet CORIDA, Nancy, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2004年 / 6卷 / 01期

关键词：

Navier-Stokes equations; incompressible fluid; rigid bodies; strong solutions;

D O I：

10.1007/s00021-003-0083-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a two-dimensional fluid-rigid body problem. The motion of the fluid is modelled by the Navier-Stokes equations, whereas the dynamics of the rigid body is governed by the conservation laws of linear and angular momentum. The rigid body is supposed to be an infinite cylinder of circular cross-section. Our main result is the existence and uniqueness of global strong solutions.

引用

页码：53 / 77

页数：25

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