The aim of the presented paper is to discuss the influence of the ellipticity condition of the momentum divergence equation on the solution of non-divergent equation of the solenoidal or geostrophic models in the barotropic approaches. The equation considered is a nonlinear differential equation of Monge-Ampere type used for determining a streamfunction field if the geopotential field is known. It is obtained by transforming the governing equations and assuming that the divergence of wind field is equal to zero. The nonlinear balance equation is a part of the general system equations describing quasi-solenoidal or quasi-geostrophic models.

Making use of the real aerological measurement data furnished by the international GRID network the Monge-Ampere equation has been solved numerically together with the solenoidal model in barotropic approximations. The results may be treated as a stage in the search for a relation between the numerical results and the processes observed in the satellite pictures.