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Currently displaying 1 – 4 of 4

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Lototsky-Schnabl Operators Associated with a Strictly Elliptic Differential Operator and Their Corresponding Feller Semigroup.

Marco Romito — 1998

Monatshefte für Mathematik

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

Franco Flandoli; Marco Romito — 2002

Mathematica Bohemica

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...

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

Flandoli, Franco; Romito, Marco — 2002

Proceedings of Equadiff 10

Statistically stationary solutions to the 3-D Navier-Stokes equation do not show singularities.

Flandoli, Franco; Romito, Marco — 2001

Electronic Journal of Probability [electronic only]

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