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2011 Invariant measures of stochastic $2D$ Navier-Stokes equation driven by $\alpha$-stable processes
Zhao Dong, Lihu Xu, Xicheng Zhang
Author Affiliations +
Electron. Commun. Probab. 16: 678-688 (2011). DOI: 10.1214/ECP.v16-1664

Abstract

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

Citation

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Zhao Dong. Lihu Xu. Xicheng Zhang. "Invariant measures of stochastic $2D$ Navier-Stokes equation driven by $\alpha$-stable processes." Electron. Commun. Probab. 16 678 - 688, 2011. https://doi.org/10.1214/ECP.v16-1664

Information

Accepted: 31 October 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1243.60052
MathSciNet: MR2853105
Digital Object Identifier: 10.1214/ECP.v16-1664

Subjects:
Primary: 60H15

Keywords: $alpha$-stable process , invariant measure , Stochastic Navier-Stokes equation

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