中文摘要：

研究一类波方程和板方程耦合系统解的稳定性。首先证明系统解的存在性和唯一性,其次运用高阶能量的方法结合Gearhart理论来证明系统解的能量不是指数衰减的,而是以多项式形式衰减到0。

英文摘要：

We consider the stability of the solution to a class of coupled wave-plate equation. The existence and uniqueness of solution of the system is given,and the energy of system is proved to be polynomially decay to zero, not to be exponential decay, as time tends to infinity by the method of higher order energy and the Gearhart theorem.