Analysis of the Invariance Some Mathematical Models of Multicomponent Media

Authors

  • Yury Mikhailovich Kovalev South Ural State University
  • Valentin Fedorovich Kuropatenko South Ural State University

Keywords:

mathematical model, invariance, multi-component mixture

Abstract

The analysis of the invariance under the Galilean transformation of the mathematical model of "frozen" gas suspension is done. It is shown that the mathematical model of the "frozen" gas suspension is not invariant under the Galilean transformations. This leads to appearance of a fictitious source term in the energy equation.

Author Biographies

Yury Mikhailovich Kovalev, South Ural State University

Dr. Sc. (Physics and Mathematics), Professor, Head of the Computational Continuum Mechanics Department

Valentin Fedorovich Kuropatenko, South Ural State University

Dr. Sc. (Physics and Mathematics), Professor, Computational Continuum Mechanics Department

Published

2012-04-11

Issue

Section

Mathematics