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Invariance measures of stochastic 2D Navier-Stokes equations driven by $\alpha$-stable processes

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Zhao Dong, Lihu Xu, Xicheng Zhang

Probability · Submitted 27 Mar 2011

abstract compiled · 2026-09-23 · no language-model review

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

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arXiv ID1103.5186 (version 1)
Pith ID7RE5LLX4, Pith's permanent record of this paper and its review
CitationLihu Xu, Xicheng Zhang, Zhao Dong. "Invariance measures of stochastic 2D Navier-Stokes equations driven by $\alpha$-stable processes." arXiv:1103.5186 (2011). https://pith.science/paper/7RE5LLX4
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In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general L\'evy processes (in particular, $\alpha$-stable processes), and obtain the existence of invariant measures.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this note we prove the well-posedness for stochastic 2D Navier-Stokes equation driven by general L\'evy processes (in particular, $\alpha$-stable processes), and obtain the existence of invariant measures. contribution 0.66 0.96 0.94 asserted 1.00

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Original abstract

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

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