2D Euler equations with Stratonovich transport noise as a large scale stochastic model reduction

preprint2021arXivOpen access

Abstract

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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