Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 05, pp. 1-18.

Title: Solution to Navier-Stokes equations for turbulent channel flows

Authors: Jing Tian (Towson Univ.,Towson, MD, USA)
         Bingsheng Zhang (Texas AM Univ., College Statoin, TX, USA)

Abstract:
 In this article, we continue the work done in [11] for turbulent
 channel flows described by the Navier-Stokes  and the Navier-Stokes-alpha
 equations. We study non-stationary solutions in special function spaces.
 In particular, we show the term representing the sum of  pressure and 
 potential is harmonic  in the space variable. We find an optimal choice 
 for the function class.
 
Submitted August 2, 2019. Published January 10, 2020.
Math Subject Classifications: 35Q30, 35B41, 76D05.
Key Words: Navier-Stokes; Navier-Stokes-alpha; channel flow; turbulence.