关键词: shock, second viscosity, Stokes’ assumption, local differential quadrature, artificial viscosity

Abstract: 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].

Key words: shock, second viscosity, Stokes’ assumption, local differential quadrature, artificial viscosity