Abstract
The author shows the existence of long-time averages to turbulent solutions of the Navier-Stokes equations and determines the equations satisfied by them, involving a Reynolds stress that is shown to be dissipative.
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In Honor of the Scientific Contributions of Professor Luc Tartar
This work was supported by ISFMA, Fudan University, China, and CNRS, France.
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Lewandowski, R. Long-time turbulence model deduced from the Navier-Stokes equations. Chin. Ann. Math. Ser. B 36, 883–894 (2015). https://doi.org/10.1007/s11401-015-0982-9
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DOI: https://doi.org/10.1007/s11401-015-0982-9