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arXiv · 2001.02333

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

In-Jee Jeong·Tsuyoshi Yoneda
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Abstract

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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In-Jee Jeong, Tsuyoshi Yoneda. 2020-01-08. Vortex stretching and anomalous dissipation for the incompressible 3D Navier-Stokes equations. https://arxiv.org/abs/2001.02333

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