## Hamiltonian systems with continuous spectrum and vortex structures in rotating fluid

The problem of small oscillations of rotating inviscid incompressible fluid is considered. The linearization of the Euler equation in the rotating coordinate system on the solution, which corresponds to the rotation of the fluid as a rigid body around z–axis, gives the system of differential equations, first obtained by H. Poincaré.The...

## A finite-difference model of atmosphere (ECSib) for climatic investigations

The climate and variability of the large-scale Nortem Hemisphere winter and summer tropospheric circulation are studied and some atmospheric statistics is presented.

## A numerical modeling of the global ocean meridional thermohaline circulation

A two-dimensional, zonally averadged, latitude-depth ocean model is proposed. Numerical experiments were carried out to investigate the global process of the thermoline circulation in frames of this simple model to apply the results of investigations to three-dimensional model.

## Some aspects of mathematical modeling using the models together with observational data

The methods of the solution of optimization problems on the basis of variational principle are described. They use numerical models together with observational data. In particularly, the problems of sensitivity investigations and data assimilation are considered. The algorithmic advantages of the proposed approach based on the adjoint problems and sensitivity...

## The investigation of the sea–ice model thermodynamic regimes

The analysis of the dynamics of ice growth and melting over the sea water is presented by this paper. According to the system of equation proposed by Hibler 3 thermal regimes are possible: ice growth due to atmospheric cooling, ice melting due to oceanic warming and ice melting caused by...

## Numerical model of methane transport by the ocean currents

A series of scenario experiments with three-dimensional model of dissolved gas transfer by ocean currents are given. The current domains and climatic state of the ocean are received from three-dimensional model of dynamics of the World Ocean, including seasonal variability. For approximation of domain of the World Ocean the five-degree...