Инд. авторы:	Chirkunov Yu.A.
Заглавие:	Exact solutions of the system of the equations of thermal motion of gas in the rarefied space
Библ. ссылка:	Chirkunov Yu.A. Exact solutions of the system of the equations of thermal motion of gas in the rarefied space // International Journal of Non-Linear Mechanics. - 2016. - Vol.83. - P.9-14. - ISSN 0020-7462. - EISSN 1878-5638.
Внешние системы:	DOI: 10.1016/j.ijnonlinmec.2016.03.008; SCOPUS: 2-s2.0-84964012372;
Реферат:	eng: We study the model describing thermal motion of gas in the rarefied space. This model can be used, in particular, in the study of the state of the medium behind the front of shock wave after very strong blast, in the study of the processes taking place inside of tornado, in the study of the motion of the gas in outer space. For any given initial distribution of the pressure a specific selection of mass Lagrange variables leads to reduction of the system of differential equations describing this motion to the system, for which the number of independent variables is less on the unit. For the obtained system we found all nontrivial conservation laws of the first order. In addition to the classical conservation laws the system has other conservation laws, which generalizes the energy conservation law. We obtained the exact solutions of this system. These solutions describe a variety of different physical processes taking place in the rarefied medium. Using the symmetry properties of the system we got the generating formulas for the receipt of the new solutions using already found earlier solutions of the system. © 2016 Elsevier Ltd. All rights reserved.
Ключевые слова:	Thermal motion; System of differential equations; Symmetry properties; Independent variables; Foliation; Exact solution; Energy conservation law; Conservation law; Shock waves; Physical properties; Differential equations; Thermal motion of gas in the rarefied space; Foliation; Exact solutions; Conservation laws; Equations of motion;
Издано:	2016
Физ. характеристика:	с.9-14