# Ergodicity of Stochastic Shell Models Driven by Pure Jump Noise

@article{Bessaih2016ErgodicityOS, title={Ergodicity of Stochastic Shell Models Driven by Pure Jump Noise}, author={Hakima Bessaih and Erika Hausenblas and Paul Andr{\'e} Razafimandimby}, journal={SIAM J. Math. Analysis}, year={2016}, volume={48}, pages={1423-1458} }

- Published in SIAM J. Math. Analysis 2016
DOI:10.1137/140997312

In the present paper we study a stochastic evolution equation for shell (SABRA \& GOY) models with pure jump \levy noise $L=\sum_{k=1}^\infty l_k(t)e_k$ on a Hilbert space $\h$. Here $\{l_k, k\in \mathbb{N}\}$ is a family of independent and identically distributed (i.i.d.) real-valued pure jump \levy processes and $\{e_k, k\in \mathbb{N}\}$ is an orthonormal basis of $\h$. We mainly prove that the stochastic system has a unique invariant measure. For this aim we show that if the \levy measure… CONTINUE READING

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