Some basic theoretical issues of the Jovian atmospheric dynamics are discussed. Those include the depth of the motions, thermal convection both with deep and shallow configurations, the two-dimensional turbulence theory and its relevance. The refractive index analysis is suggested to interpret the coherent structures like Jupiter's Great Red Spot in terms of Charney-Drazin constraint based on the observations. A possibility of Jovian data assimilation is proposed as a future direction.