Lavrentyev Readings on Mathematics, Mechanics and Physics

Novosibirsk, Russia. May 27–31, 2005

Abstracts


Mechanics

HYDRODYNAMICAL EFFECTS IN THE ASTROPHYSICS

Sadovoi G.S.

Novosibisk state technical university (Novosibirsk)

Author develops M. A. Lavrent'ev's ideas that methods of hydrodynamics have a wide scope and about continuous development of the hydrodynamics. In the report opportunities of their application (with necessary updating) to unsolved problems of astrophysics are examined. The report contains statements of problems, features of mathematical models, a qualitative and quantitative explanation of effects, examples. Specificity of astrophysical problems is, that space-time relations differ from those for terrestrial conditions.

Opportunities, restrictions and scopes of several models are considered: the charged liquid, plasma in a magnetic field, structure with self-similar elements, the photon liquid. Features of mathematical modelling, analytical and numerical methods are discussed. It is shown, that the intergalactic environment is expedient for examining as a multicomponent liquid. The new approach to construction of hydrodynamical models is stated. Conditions of occurrence and existence of low-frequency running waves in the intergalactic environment are received. The way of calculation of energy of interaction of astrophysical objects and is offered to energy of waves. As an example the estimation of energy of interaction for objects of Solar system is given. Calculations of power ratio for various a component of the galactic environment are executed. Estimations of energy of microwave background radiation, energy of radiation of other ranges are made. On the basis of calculations the conclusion that inertia of radiations and inertia of connections is commensurable with inertia of planets is made.

The hydrodynamical model for the decision of a problem on stability of stars is offered. The model takes into account counterflow currents in a radial direction and percolation of the radiation through plasma. Parameters of model and a unit of measurements of energy are entered. Numerical values of parameters allow estimating the influence of those or other processes in concrete conditions. As one of determining parameters the relation of weight of any object of examined system to equivalent weight of interaction is used. Results of calculations on the offered methods are compared with observant and experimental data.

Comparison allows drawing a conclusion for the benefit of expediency of application of models of hydrodynamics for the decision of problems of astrophysics.

Note. Abstracts are published in author's edition



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