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arXiv · 0909.3897

A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations

G. Seregin
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Abstract

In the present note, we address the question about behavior of $L_3$-norm of the velocity field as time $t$ approaches blow-up time $T$. It is known that the upper limit of the above norm must be equal to infinity. We show that, for blow-ups of type I, the lower limit of $L_3$-norm equals to infinity as well.

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G. Seregin. 2009-09-22. A note on necessary conditions for blow-up of energy solutions to the Navier-Stokes equations. https://arxiv.org/abs/0909.3897

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