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Well-posedness of stochastic primitive equations with multiplicative noise in three dimensions

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  • Three dimensional primitive equations with a small multiplicative noise are studied in this paper. The existence and uniqueness of solutions with small initial value in a fixed probability space are obtained. The proof is based on Galerkin approximation, Itô's formula and weak convergence methods.
    Mathematics Subject Classification: 35Q99, 60H15, 76M35, 86A05, 86A10.


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