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Vortex stretching and enhanced dissipation for the incompressible 3D Navier–Stokes equations

Authors :
In-Jee Jeong
Tsuyoshi Yoneda
Source :
Mathematische Annalen. 380:2041-2072
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 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 enhanced dissipation induced by such vortex-stretching.

Details

ISSN :
14321807 and 00255831
Volume :
380
Database :
OpenAIRE
Journal :
Mathematische Annalen
Accession number :
edsair.doi...........b3b860d1f98425a77b89f2b530ed102a
Full Text :
https://doi.org/10.1007/s00208-020-02019-z