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arXiv · 2204.01909

Locality of vortex stretching for the 3D Euler equations

Yuuki Shimizu·Tsuyoshi Yoneda
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Abstract

We consider the 3D incompressible Euler equations under the following situation: small-scale vortex blob being stretched by a prescribed large-scale stationary flow. More precisely, we clarify what kind of large-scale stationary flows really stretch small-scale vortex blobs in alignment with the straining direction. The key idea is constructing a Lagrangian coordinate so that the Lie bracket is identically zero (c.f. the Frobenius theorem), and investigate the locality of the pressure term by using it.

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Yuuki Shimizu, Tsuyoshi Yoneda. 2022-04-05. Locality of vortex stretching for the 3D Euler equations. https://doi.org/10.1007/s00021-023-00763-1

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