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arXiv · 1109.6091

Streamlines concentration and application to the incompressible Navier-Stokes equations

Eric Foxall·Slim Ibrahim·Tsuyoshi Yoneda
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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.

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Eric Foxall, Slim Ibrahim, Tsuyoshi Yoneda. 2011-09-28. Streamlines concentration and application to the incompressible Navier-Stokes equations. https://arxiv.org/abs/1109.6091

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