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


 
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1. Title Title of document Statistically Stationary Solutions to the 3D Navier-Stokes Equations do not show Singularities
 
2. Creator Author's name, affiliation, country Franco Flandoli; Universit&agrave di Pisa
 
2. Creator Author's name, affiliation, country Marco Romito; Universit&agrave di Firenze
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Navier-Stokes equations, suitable weak solutions, stationary solutions
 
3. Subject Subject classification 35Q30, 76D06
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-08-17
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/78
 
10. Identifier Digital Object Identifier 10.1214/EJP.v6-78
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 6
 
12. Language English=en en
 
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