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arXiv · 1810.09552

On the solutions of Navier-Stokes equations for turbulent channel flows in a particular function class

J. Tian·B. Zhang
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Abstract

In this paper, we continue the discussion as done in \cite{CTZ15} on turbulent channel flow described by the Navier-Stokes model and the Navier-Stokes-alpha model. We study the non-stationary solutions for the Navier-Stokes equations and Navier-Stokes-$\alpha$ model having particular function forms. In particular, the term of sum of pressure and potential can be shown to be harmonic in the space variable.

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J. Tian, B. Zhang. 2018-10-18. On the solutions of Navier-Stokes equations for turbulent channel flows in a particular function class. https://arxiv.org/abs/1810.09552

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