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Statistically Stationary Solutions to the 3D Navier-Stokes Equations do not show Singularities

   
@article{EJP78,
	author = {Franco Flandoli and Marco Romito},
	title = {Statistically Stationary Solutions to the 3D Navier-Stokes Equations do not show Singularities},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {6},
	year = {2001},
	keywords = {Navier-Stokes equations, suitable weak solutions, stationary solutions},
	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.},
	pages = {no. 5, 1-15},
	issn = {1083-6489},
	doi = {10.1214/EJP.v6-78},    
        url = {http://ejp.ejpecp.org/article/view/78}}