The limit from an Euler-type system to the 2D Euler equations with Stratonovich transport noise is investigated. A weak convergence result for the vorticity field and a strong convergence result for the velocity field are proved. Our results aim to provide a stochastic reduction of fluid-dynamics models with three different time scales.

中文翻译：

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带有Stratonovich输运噪声的二维Euler方程作为大规模随机模型的简化

研究了从Euler型系统到具有Stratonovich传输噪声的二维Euler方程的极限。证明了旋涡场的弱收敛结果和速度场的强收敛结果。我们的结果旨在以三种不同的时间尺度随机减少流体动力学模型。