Mathematical modeling of large scale atmospheric circulation

Abstract

The geostrophic state plays extremely important role in the dynamics of the atmosphere. In the present article the analysis of the geostrophic state of the atmosphere is performed reviling the possibility of several situations. The first situation is the isobaric surface of the shape of flattened geoid at the pole. In this case pressure decreases in comparison with a static state at the pole, i.e., the global isobaric minimum takes place; at the same time the velocity and the velocity vorticity are equal zero at the pole. Next situation at which the isobaric surface takes the shape of extended geoid. In this case pressure increases in comparison with a static state at the pole, i.e., the global isobaric maximum takes place; the velocity and the velocity vorticity are also equal zero at the pole. The situation when the pole is a special point is also considered; the geostrophic wind velocity is nonzero and velocity vorticity tends to ininity in this case.