A stochastic Navier–Stokes equation with space-time Gaussian white noise is considered, having as infinitesimal invariant measure a Gaussian measure whose covariance is given in terms of the enstrophy. Pathwise uniqueness for a.e. initial velocity (a.e. with respect to this Gaussian measure) is proven for solutions having this invariant measure.

Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy

FERRARIO, BENEDETTA
2004-01-01

Abstract

A stochastic Navier–Stokes equation with space-time Gaussian white noise is considered, having as infinitesimal invariant measure a Gaussian measure whose covariance is given in terms of the enstrophy. Pathwise uniqueness for a.e. initial velocity (a.e. with respect to this Gaussian measure) is proven for solutions having this invariant measure.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/133633
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