Approximations of stochastic 3d tamed navier-stokes equations

Xuhui Peng; Rangrang Zhang

doi:10.3934/cpaa.2020241

Approximations of stochastic 3d tamed navier-stokes equations

Xuhui Peng, Rangrang Zhang^*

^*此作品的通讯作者

数学学院

Hunan Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

In this paper, we are concerned with 3D tamed Navier-Stokes equations with periodic boundary conditions, which can be viewed as an approximation of the classical 3D Navier-Stokes equations. We show that the strong solution of 3D tamed Navier-Stokes equations driven by Poisson random measure converges weakly to the strong solution of 3D tamed Navier-Stokes equations driven by Gaussian noise on the state space D([0; T];H1).

源语言	英语
页（从-至）	5337-5365
页数	29
期刊	Communications on Pure and Applied Analysis
卷	19
期	12
DOI	https://doi.org/10.3934/cpaa.2020241
出版状态	已出版 - 12月 2020

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Peng, X., & Zhang, R. (2020). Approximations of stochastic 3d tamed navier-stokes equations. Communications on Pure and Applied Analysis, 19(12), 5337-5365. https://doi.org/10.3934/cpaa.2020241

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Approximations of stochastic 3d tamed navier-stokes equations

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