Streamlines concentration and application to the incompressible Navier-Stokes equations

Eric Foxall; Slim Ibrahim; Tsuyoshi Yoneda

Streamlines concentration and application to the incompressible Navier-Stokes equations

Analysis of PDEs 2011-09-29 v1

Authors: Eric Foxall , Slim Ibrahim , Tsuyoshi Yoneda

Abstract

For a smooth domain $D$ containing the origin, we consider a vector field $u \in C^1(D\setminus\{0\},\mathbb{R}^3)$ with $\divg u \equiv 0$ and exclude certain types of possible isolated singularities at the origin, based on the geometry of streamlines that go near that possible singular point.

Keywords

streamlines isolated singularity incompressible navier-stokes equations vector field smooth domain geometry of streamlines

Cite

@article{arxiv.1109.6091,
  title  = {Streamlines concentration and application to the incompressible Navier-Stokes equations},
  author = {Eric Foxall and Slim Ibrahim and Tsuyoshi Yoneda},
  journal= {arXiv preprint arXiv:1109.6091},
  year   = {2011}
}

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