论文标题
通过单个涡流的涡流系统的确切可控性
Exact controllability of the vortex system by means of a single vortex
论文作者
论文摘要
在本文中，我们通过单个涡流研究了点涡流系统的可控性。点涡流系统是不可压缩的Euler方程的众所周知的简化模型，其中涡度集中在一个nite数量的Dirac质量中。我们将其中一个涡流用作控制，并证明，通过适当选择其轨迹，我们可以在任意时间内将所有其他涡流驱动到给定的规定位置。
In this paper, we investigate the controllability of the point vortex system by means of a single vortex. The point vortex system is a well-known simplied model for the incompressible Euler equation, where the vorticity is concentrated in a nite number of Dirac masses. We use one of the vortices as a control, and prove that by suitably choosing its trajectory, we can drive all other vortices to a given prescribed position in arbitrary time.
