On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid

被引：0

作者：

Bravin, Marco ^{[1
]}

Necasova, Sarka ^{[2
]}

机构：

[1] Delft Univ Technol, Delft Inst Appl Math, Mekelweg 4, NL-2628 CD Delft, Netherlands

[2] Czech Acad Sci, Inst Math, Gitna 25,115 67 Praha 1, Prague, Czech Republic

来源：

JOURNAL OF NONLINEAR SCIENCE | 2024年 / 34卷 / 03期

基金：

荷兰研究理事会;

关键词：

PDEs; Fluid-structure interaction; Asymptotic limit; Navier-Stokes; Rigid body; WEAK SOLUTIONS; MOTION; EXISTENCE; BODIES; DYNAMICS; SYSTEM;

D O I：

10.1007/s00332-024-10022-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the dynamics of a small rigid body in a viscous incompressible fluid in dimension two and three. More precisely we investigate the trajectory of the rigid body in the limit when its mass and its size tend to zero. We show that the velocity of the center of mass of the rigid body coincides with the background fluid velocity in the limit. We are able to consider the limit when the volume of the rigid bodies converges to zero while their densities are a fixed constant.

引用

页数：26

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