On the Rigorous Mathematical Derivation for the Viscous Primitive Equations with Density Stratification

In this paper, we rigorously derive the governing equations describing motion of a stable stratified fluid, from mathematical point view. particular, prove that scaled Boussinesq strongly converge to viscous primitive with density stratification as aspect ratio goes zero, and rate convergence is same order ratio. Moreover, in obtain result, also establish global well-posedness strong solutions stratification.