本文主要考虑齐次Neumann边界条件下强阻尼波动方程的全局吸引子的存在性.利用渐近时间周期微分方程的极限集的性质,证明了在一定的参数范围内,齐次Neumann边界条件下强阻尼波动方程存在一维全局吸引子,是一条水平曲线.
In this paper, we consider the existence of global attractor of strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic time-periodic differential equations, we prove that in a certain parameter region, the system has a one-dimensional global attractor, which is a horizontal curve.