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# Existence of a martingale solution of the stochastic Hall-MHD equations perturbed by Poisson type random forces on $${\mathbb{R}}^{3}$$

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### Abstract

Stochastic Hall-magnetohydrodynamics equations on $${\mathbb{R}}^{3}$$ with random forces expressed in terms of the time homogeneous Poisson random measures are considered. We prove the existence of a global martingale solution. The construction of a solution is based on the Fourier truncation method, stochastic compactness method and a version of the Skorokhod theorem for non-metric spaces adequate for Poisson type random fields.

### Author and article information

###### Journal
18 September 2021
###### Article
2109.08999