3D tamed Navier-Stokes equations driven by multiplicative Lévy noise: Existence, uniqueness and large deviations

Zhao Dong; Rangrang Zhang

doi:10.1016/j.jmaa.2020.124404

3D tamed Navier-Stokes equations driven by multiplicative Lévy noise: Existence, uniqueness and large deviations

Zhao Dong, Rangrang Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

17 Citations (Scopus)

Abstract

In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Lévy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space D([0,T];H¹), where the weak convergence approach plays a key role.

Original language	English
Article number	124404
Journal	Journal of Mathematical Analysis and Applications
Volume	492
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2020.124404
Publication status	Published - 1 Dec 2020

Keywords

Large deviations
Lévy noise
Stochastic 3D tamed Navier-Stokes equations
Weak convergence method

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10.1016/j.jmaa.2020.124404

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title = "3D tamed Navier-Stokes equations driven by multiplicative L{\'e}vy noise: Existence, uniqueness and large deviations",

abstract = "In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative L{\'e}vy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space D([0,T];H1), where the weak convergence approach plays a key role.",

keywords = "Large deviations, L{\'e}vy noise, Stochastic 3D tamed Navier-Stokes equations, Weak convergence method",

author = "Zhao Dong and Rangrang Zhang",

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year = "2020",

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AU - Zhang, Rangrang

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N2 - In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Lévy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space D([0,T];H1), where the weak convergence approach plays a key role.

AB - In this paper, we show the existence and uniqueness of a strong solution to stochastic 3D tamed Navier-Stokes equations driven by multiplicative Lévy noise with periodic boundary conditions. Then we establish the large deviation principles of the strong solution on the state space D([0,T];H1), where the weak convergence approach plays a key role.

KW - Large deviations

KW - Lévy noise

KW - Stochastic 3D tamed Navier-Stokes equations

KW - Weak convergence method

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3D tamed Navier-Stokes equations driven by multiplicative Lévy noise: Existence, uniqueness and large deviations

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Keywords

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