We are concerned with dynamics of the weakly damped plate equation on a time-dependent domain. Under the assumption that the domain is time-like and expanding, we obtain the existence of time-dependent attractors, where the nonlinear term has a critical growth.

中文翻译：

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时域上的非自治弱阻尼板模型

我们关注时域上弱阻尼板方程的动力学。在域是类时间和扩展的假设下，我们获得了瞬态吸引子的存在，其中非线性项具有临界增长。