Probabilistic analysis of singularities for the 3D Navier-Stokes equations

Title:

Probabilistic analysis of singularities for the 3D Navier-Stokes equations

Creator:

Flandoli, Franco and Romito, Marco

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:de361e6f-dbf9-4e98-b151-0c127b279e18
uuid:de361e6f-dbf9-4e98-b151-0c127b279e18
doi:10.21136/MB.2002.134166

Subject:

singularities, Navier-Stokes equations, Brownian motion, and stationary solutions

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The classical result on singularities for the 3D Navier-Stokes equations says that the 1-dimensional Hausdorff measure of the set of singular points is zero. For a stochastic version of the equation, new results are proved. For statistically stationary solutions, at any given time t, with probability one the set of singular points is empty. The same result is true for a.e. initial condition with respect to a measure related to the stationary solution, and if the noise is sufficiently non degenerate the support of such measure is the full energy space.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

211-218

Source:

Mathematica bohemica | 2002 Volume:127 | Number:2

Harvested from:

CDK

Metadata only:

false