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Well-posedness for the stochastic 2D primitive equations with Lévy noise

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Abstract

The two-dimensional primitive equations with Lévy noise are studied in this paper. We proved the existence and uniqueness of the solutions in a fixed probability space which based on a priori estimates, weak convergence method and monotonicity arguments.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, 210023, China

    ChengFeng Sun

  2. Jiangsu Provincial Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China

    HongJun Gao

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  1. ChengFeng Sun
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  2. HongJun Gao
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Correspondence to HongJun Gao.

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Sun, C., Gao, H. Well-posedness for the stochastic 2D primitive equations with Lévy noise. Sci. China Math. 56, 1629–1645 (2013). https://doi.org/10.1007/s11425-013-4590-4

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