Measure attractors for stochastic Navier-Stokes equations.
Capiński, Marek, Cutland, Nigel J. (1998)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Some results on invariant measures in hydrodynamics”
Measure attractors for stochastic Navier-Stokes equations.
Probabilistic analysis of singularities for the 3-D Navier-Stokes equations
Flandoli, Franco, Romito, Marco
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Probabilistic analysis of singularities for the 3D Navier-Stokes equations
Franco Flandoli, Marco Romito (2002)
Mathematica Bohemica
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The classical result on singularities for the 3D Navier-Stokes equations says that the -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 , 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...