In this paper, a weakly dissipative viscoelastic plate equation with an infinite memory is considered. We show a general energy decay rate for a wide class of relaxation functions. To support our theoretical findings, some numerical illustrations are presented at the end. The numerical solution is computed using the popular finite element method in space, combined with time-stepping finite differences.

中文翻译：

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具有无限记忆的弱耗散粘弹性板方程的衰减率

在本文中，考虑了具有无限记忆的弱耗散粘弹性板方程。我们展示了宽泛类松弛函数的一般能量衰减率。为了支持我们的理论发现，最后提供了一些数字插图。数值解是使用空间中流行的有限元方法并结合时步有限差分来计算的。