stochastic Leray-{\alpha} model of Euler equations

Yong Chen; Yuanyuan Gong

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stochastic Leray-{α} model of Euler equations

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arxiv 2211.00556 v2 pith:BM66D5X7 submitted 2022-11-01 math.AP

stochastic Leray-{α} model of Euler equations

Yong Chen , Yuanyuan Gong This is my paper

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keywords alphaconvergenceequationseulerleray-modelstochasticapproach

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We study the stochastic Leray-{\alpha} model of Euler equations with transport noise. We first use weak convergence approach to show the large deviations of the stochastic Leray-{\alpha} 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.

stochastic Leray-{α} model of Euler equations

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