Solution to Navier-Stokes equations for turbulent channel flows

Date

2020-01-10

Authors

Tian, Jing
Zhang, Bingsheng

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Navier-Stokes, Navier-Stokes-alpha, Channel flow, Turbulence

Citation

Tian, J., & Zhang, B. (2020). Solution to Navier-Stokes equations for turbulent channel flows. <i>Electronic Journal of Differential Equations, 2020</i>(05), pp. 1-18.

Rights

Attribution 4.0 International

Rights Holder

Rights License