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Existence and uniqueness of strong periodic solutions of the primitive equations of the ocean

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  • In this article, we study the existence and uniqueness of the global and periodic strong solutions of the primitive equations of the ocean. We prove that there exists a unique periodic strong solution provided that the heat source is regular and small enough. The proof of the existence is based on approximate solutions and a fixed point argument. We also derive some a priori estimates on the strong solutions.
    Mathematics Subject Classification: 35K45, 35B10, 35K55.

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