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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.

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          Journal
          18 September 2021
          Article
          2109.08999

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          40 pages. arXiv admin note: substantial text overlap with arXiv:2109.06297
          math.PR

          Probability

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