IKBFU's Vestnik

2014 Issue №10

An oscillatory excited molecular nitrogen in the ionospheric plasma

Abstract

The mathematical model for research of the non-stationary processes proceeding in ionosphere and plasmasphere of Earth is presented. This model allows to investigate dynamics of interaction charged and neutral components of ionospheric plasma, and also to reveal a contribution of various processes to formation of ionosphere. Results of computing experiment indicate strong dependence of electronic concentration on high-rise distribution of nitrogen. The accounting of oscillatory excitement of molecular nitrogen leads to noticeable variations of electronic concentration and temperature at ionosphere F2 layer heights and improves a consent of results of model calculations of variations of electronic concentration with experimental data. It is shown that the contribution of small component in aeronomiche processes is essential.

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Numerical simulation of wave processes in elastic-acoustic problems using discontinuous Galerkin method on triangle unstructured meshes

Abstract

Wave propagation through coupled elastic-acoustic media for marine seismology, comparison of reflected waves in fluid-filled and infinite thin crack model and underwater objects detection are simulated using discontinuous Galerkin method on triangle unstructured meshes.

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Numerical simulation of forming and evolution of solitons in chain of nucleotide couples

Abstract

The Cauchy’s problem of the induced charge movement along the discrete chain of nucleotide couples in DNA is solved in the frame of Holstein’s model taking account surrounding temperature fluctuations. For the initial conditions chosen specifically the evolution of a special class of solutions of this problem related to the type of soliton is investigated. The existence of solutions in the form of solitary waves in the framework of this model is possible only at very low temperatures the thermostat.

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Mathematical modeling of parameters price discrimination by the method of classification trees

Abstract

Paper discusses possibilities of parameters price discrimination modeling on base of the method of classification trees based on the algorithm of Gini feature selection, by analyzing market behavior of dominant firms under oligopoly on the Russian coal market. It is shown that analysis based on branching tree classification determine the characteristics of the "price corridor" that dominated firm use for different groups of consumers, even in conditions of slight variations.

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Simulating of ion and electron trajectories in thermal plasma in electric field of a satellite by the molecular dynamic method

Abstract

A three-dimensional model of the interaction of a charged micro satellite and thermal plasma was considered. The ion and electron trajectories for different initial velocities and directions are shown. The calculated particle trajectories have some deviations from the classical trajectories in crossed electric and magnetic fields. The examples of closed trajectories of electrons are discussed.

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