论文标题

不可压缩的3D Navier-Stokes方程的涡流拉伸和异常耗散

Vortex stretching and anomalous dissipation for the incompressible 3D Navier-Stokes equations

论文作者

Jeong, In-Jee, Yoneda, Tsuyoshi

论文摘要

我们考虑以下$ 2+\ frac {1} {2} $的3D不可压缩的Navier-Stokes方程。我们证明了这种涡流拉伸引起的异常耗散。

We consider the 3D incompressible Navier-Stokes equations under the following $2+\frac{1}{2}$-dimensional situation: small-scale horizontal vortex blob being stretched by large-scale, anti-parallel pairs of vertical vortex tubes. We prove anomalous dissipation induced by such vortex-stretching.

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