论文标题
在通过反对称类型的速度结合的波方程的渐近稳定性上
On the asymptotic stability of wave equations coupled by velocities of anti-symmetric type
论文作者
论文摘要
在本文中，我们研究了仅通过一种阻尼，由反对称类型的速度结合的两个波方程的渐近稳定性。我们采用频域方法来证明具有光滑初始数据的系统在对数方面是稳定的，前提是耦合域和阻尼域相互相交。此外，我们以一个例子表明，与1-D情况的相交的几何假设是必需的。
In this paper, we study the asymptotic stability of two wave equations coupled by velocities of anti-symmetric type via only one damping. We adopt the frequency domain method to prove that the system with smooth initial data is logarithmically stable, provided that the coupling domain and the damping domain intersect each other. Moreover, we show, by an example, that this geometric assumption of the intersection is necessary for 1-D case.
