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.
2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction
Flandoli F.;Pappalettera U.
2021
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.File in questo prodotto:
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Flandoli Pappalettera Euler.pdf
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11384_110182.pdf
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