The Relations Between Richardson Number and the Stability of Mesoscale Perturbations

In this paper, the relations between the Richardson number and the stability of mesoscale perturbations are acquired by linearly solving the primitive equations in the log-pressure coordinate system with expansion of the small parameters, and then the symmetrically instability criterions under conditions of zero-order and first-order approximations and the baroclinic instability criterions under conditions of zero-order approximations are discussed.