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2001 Statistically Stationary Solutions to the 3D Navier-Stokes Equations do not show Singularities
Franco Flandoli, Marco Romito
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Electron. J. Probab. 6: 1-15 (2001). DOI: 10.1214/EJP.v6-78

Abstract

If $\mu$ is a probability measure on the set of suitable weak solutions of the 3D Navier-Stokes equations, invariant for the time-shift, with finite mean dissipation rate, then at every time $t$ the set of singular points is empty $\mu$-a.s. The existence of a measure $\mu$ with the previous properties is also proved; it may describe a turbulent asymptotic regime.

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Franco Flandoli. Marco Romito. "Statistically Stationary Solutions to the 3D Navier-Stokes Equations do not show Singularities." Electron. J. Probab. 6 1 - 15, 2001. https://doi.org/10.1214/EJP.v6-78

Information

Accepted: 17 August 2001; Published: 2001
First available in Project Euclid: 19 April 2016

zbMATH: 0973.35148
MathSciNet: MR1825712
Digital Object Identifier: 10.1214/EJP.v6-78

Subjects:
Primary: 35Q30
Secondary: 76D06

Keywords: Navier-Stokes equations , stationary solutions , suitable weak solutions

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Vol.6 • 2001
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