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

In-Jee Jeong; Tsuyoshi Yoneda

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

Analysis of PDEs 2020-06-08 v2 Mathematical Physics math.MP

Authors: In-Jee Jeong , Tsuyoshi Yoneda

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.

Keywords

incompressible navier-stokes equations vortex stretching anomalous dissipation three-dimensional 2+1/2-dimensional vertical vortex tubes

Cite

@article{arxiv.2001.02333,
  title  = {Vortex stretching and anomalous dissipation for the incompressible 3D Navier-Stokes equations},
  author = {In-Jee Jeong and Tsuyoshi Yoneda},
  journal= {arXiv preprint arXiv:2001.02333},
  year   = {2020}
}

Comments

To appear in Math. Annal

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