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Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows |
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| Authors: | Chongsheng Cao Junlin Qin |
| Institution: | 1. Department of Mathematics , Florida International University, University Park , Miami, Florida, USA;2. Department of Mathematics , Xian Jiaotong University , Xian, Shaanxi, China |
| 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. |
| Keywords: | Regularity criterion Three-dimensional Navier–Stokes equations Turbulent channel flows |