stochastic Leray-α model of Euler equations

Yong Chen; Yuanyuan Gong

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arXiv · 2211.00556

stochastic Leray-α model of Euler equations

Yong Chen·Yuanyuan Gong

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Abstract

We study the stochastic Leray-α model of Euler equations with transport noise. We first use weak convergence approach to show the large deviations of the stochastic Leray-α model of Euler equations in a suitable scaling limit. Then, we establish the quantitative convergence rate by semigroup approach. Moreover, we obtain a central limit theorem with strong convergence and get the explicit rate.

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Yong Chen, Yuanyuan Gong. 2023-05-08. stochastic Leray-α model of Euler equations. https://arxiv.org/abs/2211.00556

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