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| Long-Time Turbulence Model Deduced from the Navier-Stokes Equations |
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Citation： |
Roger LEWANDOWSKI.Long-Time Turbulence Model Deduced from the Navier-Stokes Equations[J].Chinese Annals of Mathematics B,2015,36(5):883~894 |
| Page view： 1142
Net amount： 1039 |
Authors： |
Roger LEWANDOWSKI; |
Foundation： |
This work was supported by ISFMA, Fudan University,
China, and CNRS, France. |
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| 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. |
Keywords： |
Navier-Stokes equations, Weak solutions, Turbulence modeling,
Reynolds stress |
Classification： |
35Q30, 76D05, 76D06, 76F05 |
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