In Part 1 of this work, we have derived a dynamical system describing the approach to a finite-time singularity of the Navier-Stokes equations. We now supplement this system with an equation describing the process of vortex reconnection at the apex of a pyramid, neglecting core deformation during the reconnection process. On this basis, we compute the maximum vorticity $\omega_{max}$ as a function of vortex Reynolds number $R_\Gamma$ in the range $2000\le R_\Gamma \le 3400$, and deduce a compatible behaviour $\omega_{max}\sim \omega_{0}\exp{\left[1 + 220 \left(\log\left[R_{\Gamma}/2000\right]\right)^{2}\right]}$ as $R_\Gamma\rightarrow \infty$. This may be described as a physical (although not strictly mathematical) singularity, for all $R_\Gamma \gtrsim 4000$.

中文翻译：

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走向 Navier-Stokes 方程的有限时间奇点。第 2 部分。涡重连接和奇点规避——勘误

在这项工作的第 1 部分中，我们导出了一个动力学系统，描述了 Navier-Stokes 方程的有限时间奇点的方法。我们现在用描述在金字塔顶点处的涡流重新连接过程的方程补充这个系统，忽略重新连接过程中的核心变形。在此基础上，我们计算最大涡度 $\omega_{max}$ 作为范围 $2000\le R_\Gamma\le 3400$ 内的涡旋雷诺数 $R_\Gamma$ 的函数，并推导出兼容行为 $\omega_ {max}\sim \omega_{0}\exp{\left[1 + 220 \left(\log\left[R_{\Gamma}/2000\right]\right)^{2}\right]}$ 为$R_\Gamma\rightarrow \infty$。对于所有 $R_\Gamma \gtrsim 4000$，这可以被描述为物理（尽管不是严格的数学）奇点。