中文摘要：

吸引子的存在性问题是无穷维动力系统的主要问题之一.在本文中,建立了有非线性边界阻尼均匀流动的粘弹性方程,通过能量衰减和建立李雅普诺夫函数,最后,证明了吸引子的存在.

英文摘要：

The existence of the attractor is one of the main problems of infinite dimensional dynamical system.In this paper,we establish the uniform attractors for the viscoelastic equation with a nonlinear boundary damping,by means of the energy decay and the establishment of Lyapunov function.Finally,we proved the existence of the attractor.