This article is devoted to a study of the blow-up result for a system of coupled viscoelastic wave equations. By establishing a new auxiliary function and using the reduction to absurdity method, we obtain some sufficient conditions on initial data such that the solution blows up in finite time at arbitrarily high initial energy. This work generalizes and improves earlier results in the literature.

中文翻译：

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具有任意正初始能量的耦合粘弹性方程组的爆破结果

本文致力于研究耦合粘弹性波动方程组的爆破结果。通过建立一个新的辅助函数并使用归约化方法，我们在初始数据上获得了一些充分条件，使得解在任意高的初始能量下在有限时间内爆炸。这项工作概括并改进了文献中的早期结果。