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

Abstract

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

25 pages. arXiv admin note: text overlap with arXiv:1608.04770 by other authors