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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Hunan Normal University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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).

Original language	English
Pages (from-to)	5337-5365
Number of pages	29
Journal	Communications on Pure and Applied Analysis
Volume	19
Issue number	12
DOIs	https://doi.org/10.3934/cpaa.2020241
Publication status	Published - Dec 2020

Keywords

3D tamed Navier-Stokes equations
Approximations
Gaussian noise
Poisson random measure
Strong solution

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10.3934/cpaa.2020241

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abstract = "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).",

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author = "Xuhui Peng and Rangrang Zhang",

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AB - 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).

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KW - Approximations

KW - Gaussian noise

KW - Poisson random measure

KW - Strong solution

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Approximations of stochastic 3d tamed navier-stokes equations

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Keywords

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