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

Authors :
Jeong, In-Jee
Yoneda, Tsuyoshi
Publication Year :
2020
Publisher :
arXiv, 2020.

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.<br />Comment: To appear in Math. Annal

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....99a82ef7104a44f2de73a8e1e177a5d0
Full Text :
https://doi.org/10.48550/arxiv.2001.02333