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Abstract

In this paper, the problem of continuous data assimilation of three dimensional primitive equations with magnetic field in thin domain is studied. We establish the well-posedness of the assimilation system and prove that the $H^{2}$ -strong solution of the assimilation system converges exponentially to the reference solution in the sense of $L^{2}$ as $t \to \infty$ . We also study the sensitivity analysis of the assimilation system and prove that a sequence of solutions of the difference quotient equation converge to the unique solution of the formal sensitivity equation.

Keywords

Well-posedness data assimilation sensitivity analysis

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Continuous data assimilation for the three dimensional primitive equations with magnetic field

Abstract

Keywords

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