On the qualitative theory of the rotating Boussinesq equations Maleafisha Stephen Joseph Tladi

An alternative title for this paper would perhaps be ”Well-posedness of the problem of beta-plane ageostrophic flows for meteorology and oceanography.” The author studies the rotating Boussinesq equations describing the motion of a viscous incompressible stratified fluid in a rotating system which is relevant, e.g., for Lagrangian coherent structures. These equations consist of the Navier-Stokes equations with buoyancy-term and Coriolis-term in beta-plane approximation, the divergence-constraint, and a diffusion-type equation for the density variation. They are considered in a plane layer with periodic boundary conditions in the horizontal directions and stress-free conditions at the bottom and the top of the layer. Additionally, the author considers this model with Reynolds stress, which adds hyper-diffusivity terms of order 6 to the equations. This manuscript focuses primarily on deriving the rotating Boussinesq equations for geophysical fluids, showing existence and uniqueness of... Это и многое другое вы найдете в книге On the qualitative theory of the rotating Boussinesq equations (Maleafisha Stephen Joseph Tladi)