Existence and uniqueness of global strong solutions of two models in atmospheric dynamics

In this paper, the author proves by the methods of energy estimates the existence and uniqueness of global strong solutions of barotropic nondivergent model and baroclinic quasi-geostrophic quasi-nondivergent model. The two models are fundamental ones in atmospheric dynamics. The results here generalize the outcome given by the author in [3]–[5] and verify a conjecture posed by Zeng Qing-cun in [1].