Gasdynamic Elements of Dispersive Medium

Authors

  • M. Ja. Ivanov State Scientific Center of Russian Federation, Central Institute of Aviation Motors (Named after Baranov), Russia.
  • L. V. Terentieva State Scientific Center of Russian Federation, Central Institute of Aviation Motors (Named after Baranov), Russia.

DOI:

https://doi.org/10.9734/bpi/mono/978-93-90516-23-0

Keywords:

Gas dynamics, dispersive medium, exact solutions, plasma waves, solitons, microstructural turbulence, particle-wave aspects

Abstract

Aspects of motion theory for gaseous continuous medium at essential influence of dispersion effects, related to the medium microstructure or presence of internal force fields of an electromagnetic or gravitational nature are presented. The exact stationary solutions of non-linear equations in vicinity of transition fronts and in the shape of solitary waves – “classical” and “particle-like” solitons are analyzed in details. Various gasdynamic models – starting with acoustic theory of relativity and supercritical analogue of the special theory of relativity up to model of the Newtonian dark matter and microstructural turbulence are demonstrated. Common conformities of investigated processes by a number of examples taken from gas dynamics and physics are illustrated.

Published

2021-02-17

How to Cite

M. Ja. Ivanov, & L. V. Terentieva. (2021). Gasdynamic Elements of Dispersive Medium. Gasdynamic Elements of Dispersive Medium, 1–108. https://doi.org/10.9734/bpi/mono/978-93-90516-23-0