论文标题
在低雷诺数处的不可压缩液体中刚体的远程轨迹跟踪
Remote trajectory tracking of a rigid body in an incompressible fluid at low Reynolds number
论文作者
论文摘要
在本文中，我们研究了由牛顿定律驱动的刚性体的运动，并浸入了固定的不可压缩的stokes流中，占据了一个有限的简单连接域。目的是通过以dirichlet边界数据的形式控制固体的轨迹跟踪。我们表明，通过这种遥控器的方式，有可能准确地实现从外部边界远离外部边界的固体的任何平滑轨迹。证明依赖于STOKES系统的某些密度方法，以及将实体方程式重新制定为ODE。
In this paper we study the motion of a rigid body driven by Newton's law immersed in a stationary incompressible Stokes flow occupying a bounded simply connected domain. The aim is that of trajectory tracking of the solid by the means of a control in the form of Dirichlet boundary data on the outside boundary of the fluid domain. We show that it is possible to exactly achieve any smooth trajectory for the solid that stays away from the external boundary, by the means of such a remote control. The proof relies on some density methods for the Stokes system, as well as a reformulation of the solid equations into an ODE.
