论文标题
关于带有分布式无限记忆的川毛方程的稳定性
On the stability of the Kawahara equation with a distributed infinite memory
论文作者
论文摘要
本文将处理高阶分散系统的稳定问题，通常称为Kawahara方程。为此，我们通过等式中的分布式内存项引入阻尼机制，以证明kawahara方程的解决方案是指数稳定的，只要满足内存内核上的特定假设。由于能源方法允许提供系统能量的衰减估计，这是可能的。
This article will deal with the stabilization problem for the higher-order dispersive system, commonly called the Kawahara equation. To do so, we introduce a damping mechanism via a distributed memory term in the equation to prove that the solutions of the Kawahara equation are exponentially stable, provided that specific assumptions on the memory kernel are fulfilled. This is possible thanks to the energy method that permits to provide a decay estimate of the system energy.
