论文标题
在粘性不可压缩的液体中，在尺寸和三的粘性不可压缩的液体中的速度
On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three
论文作者
论文摘要
在本文中，我们研究了一个小刚体在粘性不可压缩的液体中的演变，特别是我们表明，当小粒子的尺寸在其质量下的下限下，小粒子的大小在下限下收敛到零时，小粒子不会加速。该结果基于对刚体质量中心的速度的新的先验估计，而刚体的质量中心也可以减少质量为零。
In this paper we study the evolution of a small rigid body in a viscous incompressible fluid, in particular we show that a small particle is not accelerated by the fluid in the limit when its size converges to zero under a lower bound on its mass. This result is based on a new a priori estimate on the velocities of the centers of mass of rigid bodies that holds in the case when their masses are also allowed to decrease to zero.
