Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001

Abstracts

Russian participants

Linear and nonlinear mechanic models for electromagnetic and gravitating gaseous medium

Ivanov M.J.

Central Institute of Aviation Motors (Moscow)

Outcoming over an analysis of acoustic and electromagnetic perturbances in a free space the extended linear equation systems for gaseous electromagnetic or gravitational medium are proposed. Swirl transformations in the independent arguments plate - space coordinate and time - allow to get the supersonic (superluminal) variant of Lorentz transformations. Possibilities of development of "acoustic theory of relativity" and superluminal extension of special theory of relativity are demonstrated.

This simulation allows to consider the dark matter model as gaseous medium - bearer of electromagnetic and gravitational force fields. Based on the analogy with classical hydrodynamic theory the full nonlinear conservation laws systems are obtained for gaseous electromagnetic and gravitational medium and their exact solutions are analized.

As examples we present the close equation system, which has the exact solutions for cosmic jets in gravitational medium and gamma bursts for electromagnetic medium. Similar solutions have very well known for hydrodynamic plasma descriptions.

Note. Abstracts are published in author's edition

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