In this paper, we consider the Cauchy problem for a generalized Boussinesq equation with double damping terms. By using improved convexity method combined with potential well method and Fourier transform, we show the finite time blow-up of the solution with arbitrarily high initial energy while many similar results require the corresponding energy to be less than some certain numbers.

中文翻译：

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具有双阻尼项的广义Boussinesq方程的爆破。

在本文中，我们考虑具有双重阻尼项的广义Boussinesq方程的柯西问题。通过将改进的凸度方法与势阱方法和傅立叶变换相结合，我们展示了具有任意高初始能量的解的有限时间爆炸，而许多相似的结果要求相应的能量小于某些特定数量。