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arXiv · 1410.0500

Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model

Luisa Andreis·David Barbato·Francesca Collet·Marco Formentin·Luigi Provenzano
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Abstract

We consider an inviscid stochastically forced dyadic model, where the additive noise acts only on the first component. We prove that a strong solution for this problem exists and is unique by means of uniform energy estimates. Moreover, we exploit these results to establish strong existence and uniqueness of the stationary distribution.

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Luisa Andreis, David Barbato, Francesca Collet, Marco Formentin, Luigi Provenzano. 2014-10-02. Strong existence and uniqueness of the stationary distribution for a stochastic inviscid dyadic model. https://arxiv.org/abs/1410.0500

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