论文标题
Korteweg-De Vries方程的弱阻尼
Weak damping for the Korteweg-de Vries equation
论文作者
论文摘要
20多年来，从数学的角度，对Korteweg-de Vries方程进行了深入探讨。关于控制理论，在该方程式中添加内力项时，众所周知，在有界域中，korteweg-de vries方程在指数上稳定。在这项工作中，我们提出了一种薄弱的强迫机制，其成本低于文献中的成本低，以实现与Korteweg-de Vries方程的全球指数稳定性的结果。
For more than 20 years, the Korteweg-de Vries equation has been intensively explored from the mathematical point of view. Regarding control theory, when adding an internal force term in this equation, it is well known that the Korteweg-de Vries equation is exponentially stable in a bounded domain. In this work, we propose a weak forcing mechanism, with a lower cost than that already existing in the literature, to achieve the result of the global exponential stability to the Korteweg-de Vries equation.
