Department of Mathematics
Towson University
Towson, MD 21252, USA
email: jtian@towson.edu
Department of Mathematics
Texas A&M University
College Statoin, TX, 77843, USA
email: shanby84@gmail.com
Jing Tian, Bingsheng Zhang
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.
DOI: 10.58997/ejde.2020.05
Show me the PDF file (346 KB), TEX file for this article.
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Jing Tian Department of Mathematics Towson University Towson, MD 21252, USA email: jtian@towson.edu |
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Bingsheng Zhang Department of Mathematics Texas A&M University College Statoin, TX, 77843, USA email: shanby84@gmail.com |
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