In this paper, we establish a new blow-up criterion of the strong solution to the quantum hydrodynamic model. This blow-up criterion is different from the one established in our former paper (Wang and Guo, 2020). This blow-up criterion only depends on the gradient of the velocity, but also the first order time derivative of the square root of the density.

中文翻译：

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量子流体动力学模型强解的一个新的爆破判据

在本文中，我们为量子流体动力学模型的强解建立了新的爆破判据。这种爆炸性的标准不同于我们以前的论文中所确立的标准（Wang and Guo，2020）。该爆炸准则仅取决于速度的梯度，还取决于密度的平方根的一阶时间导数。