关于anti-symmetric型速度耦合的wave equations系统的渐近稳定性
On the asymptotic stability of wave equations coupled by velocities of anti-symmetric type
摘要：
本文研究了两个反对称型速度耦合的波动方程仅通过一个阻尼的渐近稳定性。采用频域方法证明了在耦合域和阻尼域相交的条件下，具有光滑初值的系统是动力稳定的。此外，我们通过一个例子表明，这种相交的几何假设是必要的1-D的情况。
英文摘要：
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.
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