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math.PR2009★ 5 cited
An almost sure energy inequality for Markov solutions to the 3D Navier-Stokes equations
Marco Romito
We prove existence of weak martingale solutions satisfying an almost sure version of the energy inequality and which constitute a (almost sure) Markov process.
math.PR2009
The martingale problem for Markov solutions to the Navier-Stokes equations
Marco Romito
Under suitable assumptions of regularity and non-degeneracy on the covariance of the driving additive noise, any Markov solution to the stochastic Navier-Stokes equations has an as…