English

Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations

Analysis of PDEs 2021-01-01 v1 Mathematical Physics math.MP

Abstract

We consider the 3D incompressible Navier-Stokes equations under the following 2+122+\frac{1}{2}-dimensional situation: vertical vortex blob (quasi-streamwise vortices) being stretched by two-dimensional shear flow. We prove enhanced dissipation induced by such quasi-streamwise vortices.

Keywords

Cite

@article{arxiv.2012.14621,
  title  = {Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations},
  author = {In-Jee Jeong and Tsuyoshi Yoneda},
  journal= {arXiv preprint arXiv:2012.14621},
  year   = {2021}
}