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

preprint2011arXivOpen access

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.

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

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Invariance measures of stochastic 2D Navier-Stokes equations driven by ααα-stable processes

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