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math.PR2018
Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure
Franco Flandoli, Dejun Luo
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 certai…
math.PR2018
Kolmogorov equations associated to the stochastic 2D Euler equations
Franco Flandoli, Dejun Luo
The Kolmogorov equation associated to a stochastic 2D Euler equations with transport type noise and random initial conditions is studied by a direct approach, based on Fourier anal…
math.PR2018
Euler-Lagrangian approach to 3D stochastic Euler equations
Franco Flandoli, Dejun Luo
3D stochastic Euler equations with a special form of multiplicative noise are considered. A Constantin-Iyer type representation in Euler-Lagrangian form is given, based on stochast…