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Continuous data assimilation for the 3D primitive equations of the ocean

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  • In this article, we show that the continuous data assimilation algorithm is valid for the 3D primitive equations of the ocean. Namely, the assimilated solution converges to the reference solution in $L^2$ norm at an exponential rate in time. We also prove the global existence of strong solution to the assimilated system.

    Mathematics Subject Classification: Primary: 35B40, 35B45, 35B65, 35K40, 35K61, 35Q93; Secondary: 76D03, 76D05.

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