论文标题
关于具有粒子支持的控制的粘性汉堡粒子系统的全局无效可控性的评论
Remark on the global null controllability for a viscous Burgers-particle system with particle supported control
论文作者
论文摘要
本文致力于研究一维流体粒子相互作用模型的可控性，其中流体遵循粘性汉堡方程，点质量遵守牛顿的第二定律。我们证明了流体和粒子速度的无效可控性，以及仅作用于粒子上的控制变量的粒子位置的近似可控性。我们作品的新颖性之一是，我们实现了所有初始数据的统一时间，并且对初始数据没有任何微不足道的假设。
This paper is devoted to study the controllability of a one-dimensional fluid-particle interaction model where the fluid follows the viscous Burgers equation and the point mass obeys Newton's second law. We prove the null controllability for the velocity of the fluid and the particle and an approximate controllability for the position of the particle with a control variable acting only on the particle. One of the novelties of our work is the fact that we achieve this controllability result in a uniform time for all initial data and without any smallness assumptions on the initial data.
