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Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

Chonsheng Cao·Junlin Qin·Edriss S. Titi
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Abstract

In this paper we consider the three-dimensional Navier-Stokes equations in infinite channel. We provide a regularity criterion for solutions of the three-dimensional Navier-Stokes equations in terms of the vertical component of the velocity field.

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Chonsheng Cao, Junlin Qin, Edriss S. Titi. 2006-09-24. Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows. https://arxiv.org/abs/math/0609667

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