COLLISIONS IN THREE-DIMENSIONAL FLUID STRUCTURE INTERACTION PROBLEMS

被引：62

作者：

Hillairet, Matthieu ^{[1
]}

Takahashi, Takeo ^{[2
,3
]}

机构：

[1] Univ Toulouse 3, Lab MIP, IMT, F-31062 Toulouse 9, France

[2] Nancy Univ, CNRS, UMR 7502, Inst Elie Cartan,INRIA, F-54506 Vandoeuvre Les Nancy, France

[3] INRIA Nancy Grand Est, Team Project CORIDA, Villers Les Nancy, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2009年 / 40卷 / 06期

关键词：

fluid structure interactions; Cauchy theory; qualitative properties; collisions; INCOMPRESSIBLE VISCOUS-FLUID; RIGID-BODY; MOTION; WELLPOSEDNESS; BODIES; FLOW;

D O I：

10.1137/080716074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a system composed of a rigid ball moving into a viscous incompressible fluid over a fixed horizontal plane. The equations of motion for the fluid are the Navier-Stokes equations, and the equations for the motion of the rigid ball are obtained by applying Newton's laws. We show that for any weak solution of the corresponding system satisfying the energy inequality, the rigid ball never touches the plane. This result is the extension of that obtained in [M. Hillairet, Comm. Partial Differential Equations, 32 (2007), pp. 1345-1371] in the two-dimensional setting.

引用

页码：2451 / 2477

页数：27

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