## Studying the influence of the wind circulation above the Norwegian and the Greenland seas on the Arctic sea ice

The numerical results obtained have shown that the dynamic atmosphere factor plays an important role in changing the state of the ice cover. A change in the Atlantic water pathway has an influence on the ice depth in the regions of the Barents Sea, the Fram Strait and the Eurasian...

## Non-existence of the global solution of initial boundary value problem for the incompressible two-velocity medium equation

An initial boundary value problem for systems of viscous two-fluid media with equilibrium of pressure phases is considered. Using the test function method proposed by S.I. Pohozhaev and E. Mitidieri, the effect of boundary and initial conditions on the appearance, time and rate of destruction of solutions of this problem...

## The derivation of the Saint-Venant equations

The water motion in real river-beds is described by the mathematical models that under appropriate assumptions are various approximations of hydrodynamic equations, or the Navier-Stokes equations. The mathematical model of a water flow, based on the laws of conservation of momentum and mass of fluid, was proposed by Saint-Venant. The...

## The solution of the one-dimensional unsteady flow problem in the Lena river delta

The research into the hydrological regime of the river estuaries conventionally concerns the distribution of the flow across their channels and branches.

There is a known hydraulic method for calculating the hydrological regimes in the river deltas [1]. It is based on a system of the balance equations for branching...

## A comparative analysis of kinetically consistent schemes with several grid methods for solving gas-dynamics problems

The equations of gas dynamics are an integral part of numerical models of the atmospheric dynamics used for research into variations of climate and anthropogenic changes in the environment. Various modifications of the discrete kinetic models describing a single-particle distribution function are reviewed and tested. A comparison of test solutions...

## Numerical analysis of experimental studies of atmosphere deposition of contaminants in the vicinity of the Novosibirsk city

The results of experimental and numerical studies of regional contamination of the snow cover by the atmospheric emissions of impurities coming in the winter period from the territory of Novosibirsk are discussed. The quantitative regularities in removing of impurities are established. The possibility of creating an efficient monitoring system and...

## Numerical interpretation of land and satellite monitoring data of the snow cover pollution in the Omsk CHP-5 neighborhood

Results of the land and satellite investigations of dust pollution of the snow cover in the neighborhood of Omsk CHP-5 are discussed. Based on the model of reconstructing the fields of aerosol impurity losses, the numerical analysis of these observations is carried out. A significant influence of the effects of...