English

stochastic Leray-{\alpha} model of Euler equations

Analysis of PDEs 2023-05-09 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2211.00556,
  title  = {stochastic Leray-{\alpha} model of Euler equations},
  author = {Yong Chen and Yuanyuan Gong},
  journal= {arXiv preprint arXiv:2211.00556},
  year   = {2023}
}

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R2 v1 2026-06-28T04:56:36.174Z