Approximations of stochastic Navier–Stokes equations

Shijie Shang; Tusheng Zhang

doi:10.1016/j.spa.2019.07.007

Approximations of stochastic Navier–Stokes equations

Shijie Shang^*, Tusheng Zhang

^*Corresponding author for this work

University Of Science & Technology Of China

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

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Abstract

In this paper we show that solutions of two-dimensional stochastic Navier–Stokes equations driven by Brownian motion can be approximated by stochastic Navier–Stokes equations forced by pure jump noise/random kicks.

Original language	English
Journal	Stochastic Processes and their Applications
Early online date	12 Jul 2019
DOIs	https://doi.org/10.1016/j.spa.2019.07.007
Publication status	Published - 2019

Keywords

Approximations
Jump noise
Stochastic Navier–Stokes equations
Stochastic partial differential equations
Weak convergence

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10.1016/j.spa.2019.07.007

Approximations of SNSE_Accepted author manuscript, 182 KB

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title = "Approximations of stochastic Navier–Stokes equations",

abstract = "In this paper we show that solutions of two-dimensional stochastic Navier–Stokes equations driven by Brownian motion can be approximated by stochastic Navier–Stokes equations forced by pure jump noise/random kicks.",

keywords = "Approximations, Jump noise, Stochastic Navier–Stokes equations, Stochastic partial differential equations, Weak convergence",

author = "Shijie Shang and Tusheng Zhang",

year = "2019",

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language = "English",

journal = "Stochastic Processes and their Applications",

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AU - Shang, Shijie

AU - Zhang, Tusheng

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KW - Approximations

KW - Jump noise

KW - Stochastic Navier–Stokes equations

KW - Stochastic partial differential equations

KW - Weak convergence

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U2 - 10.1016/j.spa.2019.07.007

DO - 10.1016/j.spa.2019.07.007

M3 - Article

AN - SCOPUS:85069567198

SN - 0304-4149

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

ER -

Approximations of stochastic Navier–Stokes equations

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Keywords

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