Electronic Communications in Probability

Invariant measures of stochastic $2D$ Navier-Stokes equation driven by $\alpha$-stable processes

Zhao Dong, Lihu Xu, and Xicheng Zhang

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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.

Article information

Electron. Commun. Probab., Volume 16 (2011), paper no. 59, 678-688.

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

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Zentralblatt MATH identifier

Primary: 60H15: Stochastic partial differential equations [See also 35R60]

$alpha$-stable process Stochastic Navier-Stokes equation Invariant measure

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Dong, Zhao; Xu, Lihu; Zhang, Xicheng. Invariant measures of stochastic $2D$ Navier-Stokes equation driven by $\alpha$-stable processes. Electron. Commun. Probab. 16 (2011), paper no. 59, 678--688. doi:10.1214/ECP.v16-1664. https://projecteuclid.org/euclid.ecp/1465262015

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