作为大尺度随机模型降阶的含Stratonovich输运噪声的二维Euler方程
2D Euler equations with Stratonovich transport noise as a large scale stochastic model reduction
摘要:
研究了从Euler型方程组到含Stratonovich输运噪声的二维Euler方程组的极限。证明了涡量场的弱收敛结果和速度场的强收敛结果。我们的研究结果旨在提供一个随机减少的流体动力学模型与三个不同的时间尺度。
英文摘要:
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.
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