论文标题
在不可压缩的粘性液中的浅色刚体的轨迹上
On the trajectory of a light small rigid body in an incompressible viscous fluid
论文作者
论文摘要
在本文中，我们研究了在尺寸和三个方面的粘性不可压缩的液体中一个小刚体的动力学。更确切地说，当刚体质量和大小趋于零时，我们研究了刚体的轨迹。我们表明，刚体的质量中心的速度与极限的背景流体速度一致。我们能够考虑小刚体的密度与其大小均匀边界的情况。
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 the 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 case where the density of the small rigid body is uniformly bounded respect to its size.
