On the interior regularity criteria of the 3-D Navier-Stokes equations involving two velocity components

Wendong Wang; Liqun Zhang; Zhifei Zhang

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arXiv · 1410.2399

On the interior regularity criteria of the 3-D Navier-Stokes equations involving two velocity components

Wendong Wang·Liqun Zhang·Zhifei Zhang

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Abstract

We present some interior regularity criteria of the 3-D Navier-Stokes equations involving two components of the velocity. These results in particular imply that if the solution is singular at one point, then at least two components of the velocity have to blow up at the same point.

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Wendong Wang, Liqun Zhang, Zhifei Zhang. 2014-10-09. On the interior regularity criteria of the 3-D Navier-Stokes equations involving two velocity components. https://arxiv.org/abs/1410.2399

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