Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure

Franco Flandoli; Dejun Luo

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arXiv · 1806.09332

Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure

Franco Flandoli·Dejun Luo

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Abstract

We consider the vorticity form of the 2D Euler equations which is perturbed by a suitable transport type noise and has white noise initial condition. It is shown that, under certain conditions, this equation converges to the 2D Navier-Stokes equation driven by the space-time white noise.

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Franco Flandoli, Dejun Luo. 2018-06-25. Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure. https://arxiv.org/abs/1806.09332

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