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

Zhao Dong (Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Academia Sinica, P.R.China)
Lihu Xu (Department of Mathematics, Brunel University, Uxbridge UB8 3PH, ENGLAND)
Xicheng Zhang (Wuhan University)

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.

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Pages: 678-688

Publication Date: October 31, 2011

DOI: 10.1214/ECP.v16-1664

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