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arXiv · 1510.09178

On blowup of nonendpoint borderline Lorentz norms for the Navier-Stokes equations

T. Barker·G. Seregin
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Abstract

Assuming $T$ is a potential blow up time for the Navier-Stokes system in $\mathbb{R}^3$ or $\mathbb{R}^3_+$, we show that the $L^{3,q}$ Lorentz norm, with $q$ finite, of the velocity field goes to infinity as time $t$ approaches $T$.

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T. Barker, G. Seregin. 2015-10-30. On blowup of nonendpoint borderline Lorentz norms for the Navier-Stokes equations. https://arxiv.org/abs/1510.09178

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