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

被引：85

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

共 50 条

[1] Global Strong Solutions for the Two-Dimensional Motion of an Infinite Cylinder in a Viscous Fluid
Takéo Takahashi
Marius Tucsnak
Journal of Mathematical Fluid Mechanics, 2004, 6 : 53 - 77
[2] Global Weak Solutions¶for the Two-Dimensional Motion¶of Several Rigid Bodies¶in an Incompressible Viscous Fluid
Jorge Alonso San Martín
Victor Starovoitov
Marius Tucsnak
Archive for Rational Mechanics and Analysis, 2002, 161 : 113 - 147
[3] Global weak solutions for the two-dimensional motion of several rigid bodies in an incompressible viscous fluid
San Martín, JA
Starovoitov, V
Tucsnak, M
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 161 (02) : 113 - 147
[4] The Two-Dimensional Steady Motion of a Viscous Fluid
Jeffery, G. B.
PHILOSOPHICAL MAGAZINE, 1915, 29 (172) : 455 - U53
[5] Numerical analysis of two-dimensional motion of a freely falling circular cylinder in an infinite fluid
Namkoong, Kak
Yoo, Jung Yul
Choi, Hyoung G.
JOURNAL OF FLUID MECHANICS, 2008, 604 : 33 - 53
[6] Vortex Motion in Two-Dimensional Viscous Fluid Flows
Dynnikova, G. Ya.
FLUID DYNAMICS, 2003, 38 (05) : 670 - 678
[7] Vortex Motion in Two-Dimensional Viscous Fluid Flows
G. Ya. Dynnikova
Fluid Dynamics, 2003, 38 : 670 - 678
[8] Two-dimensional viscous-flow simulations for a circular cylinder in motion
Tavassoli, A
Kim, MH
Park, JC
PROCEEDINGS OF THE 10TH (2000) INTERNATIONAL OFFSHORE AND POLAR ENGINEERING CONFERENCE, VOL III, 2000, : 478 - 485
[9] SLOW MOTION OF AN INFINITE VISCOUS FLUID DUE TO ROTATION OF A CYLINDER
SASTRY, UA
APPLIED SCIENTIFIC RESEARCH SECTION A-MECHANICS HEAT CHEMICAL ENGINEERING MATHEMATICAL METHODS, 1964, 13 (2-3): : 187 - &
[10] On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
Vaigant, VA
Kazhikhov, AV
SIBERIAN MATHEMATICAL JOURNAL, 1995, 36 (06) : 1108 - 1141

← 1 2 3 4 5 →