Long-time turbulence model deduced from the Navier-Stokes equations

Roger Lewandowski

Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (5) : 883 -894.

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Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (5) : 883 -894. DOI: 10.1007/s11401-015-0982-9
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Long-time turbulence model deduced from the Navier-Stokes equations

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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

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Roger Lewandowski. Long-time turbulence model deduced from the Navier-Stokes equations. Chinese Annals of Mathematics, Series B, 2015, 36(5): 883-894 DOI:10.1007/s11401-015-0982-9

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