Invariant measures of stochastic 2d navier-stokes equations driven by α-stable processes

Zhao Dong; Lihu Xu; Xicheng Zhang

doi:10.1214/ECP.v16-1664

Invariant measures of stochastic 2d navier-stokes equations driven by α-stable processes

Zhao Dong, Lihu Xu, Xicheng Zhang

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

28 Citations (Scopus)

Abstract

In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general Lévy processes (in particular, α-stable processes), and obtain the existence of invariant measures.

Original language	English
Pages (from-to)	678-688
Number of pages	11
Journal	Electronic Communications in Probability
Volume	16
DOIs	https://doi.org/10.1214/ECP.v16-1664
Publication status	Published - 1 Jan 2011
Externally published	Yes

Keywords

Invariant measure
Stochastic Navier-Stokes equation
α-stable process

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10.1214/ECP.v16-1664

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title = "Invariant measures of stochastic 2d navier-stokes equations driven by α-stable processes",

abstract = "In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general L{\'e}vy processes (in particular, α-stable processes), and obtain the existence of invariant measures.",

keywords = "Invariant measure, Stochastic Navier-Stokes equation, α-stable process",

author = "Zhao Dong and Lihu Xu and Xicheng Zhang",

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AU - Xu, Lihu

AU - Zhang, Xicheng

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N2 - In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general Lévy processes (in particular, α-stable processes), and obtain the existence of invariant measures.

AB - In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general Lévy processes (in particular, α-stable processes), and obtain the existence of invariant measures.

KW - Invariant measure

KW - Stochastic Navier-Stokes equation

KW - α-stable process

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DO - 10.1214/ECP.v16-1664

M3 - Article

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SN - 1083-589X

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SP - 678

EP - 688

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

ER -

Invariant measures of stochastic 2d navier-stokes equations driven by α-stable processes

Abstract

Keywords

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