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

中文翻译：

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不可压缩 3D Navier-Stokes 方程的涡旋拉伸和增强耗散

我们在以下 $$2+\frac{1}{2}$$ 2 + 1 2 维情况下考虑 3D 不可压缩 Navier-Stokes 方程：小尺度水平涡团被大尺度反平行对拉伸垂直涡流管。我们证明了由这种涡旋拉伸引起的增强的耗散。