Geodesic
Influence of dynemical radiative cooling on the local criterion of
Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 1 (2014), pp. 70-75.

Voir la notice de l'article provenant de la source Math-Net.Ru

The results of a linear stability analysis of gaseous disk, in which heating and radiative cooling is dynamically important, we are presented. It is shown that cooling gives weak damping of acoustical modes and make more unstable gravity modes. So, the entropical-gravity mode is unstable for any wavelength and the local criterion of gravitational stability is absent. These effects may to influence on the mechanism of observational structure of gaseous disk in galaxies forming. The physical cause of instability is phase shift between disturbances of internal energy and pressure on the one hand and disturbances of density on other hand, which uniquely determines by dispersion law. For acoustic modes all disturbances are in phase — increase of density leads to increase of internal energy; the wave behaves in the usual way. For the entropy modes disturbances of density are not in phase with disturbances of pressure and internal energy. So, local increase of density leads to decrease of pressure and internal energy. This is energetically favorable in accordance with the Le Chatelier — Brown principle and increases in time.
Keywords: gaseous galactic disks, Toomre stability criteria, dynamic radiative cooling, linear stability analysis, self-gravity. 
@article{VVGUM_2014_1_a8,
     author = {V. V. Musts{\cyre}voy},
     title = {Influence of dynemical radiative cooling on the local criterion of},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {70--75},
     publisher = {mathdoc},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2014_1_a8/}
}
TY  - JOUR
AU  - V. V. Mustsеvoy
TI  - Influence of dynemical radiative cooling on the local criterion of
JO  - Matematičeskaâ fizika i kompʹûternoe modelirovanie
PY  - 2014
SP  - 70
EP  - 75
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VVGUM_2014_1_a8/
LA  - ru
ID  - VVGUM_2014_1_a8
ER  - 
%0 Journal Article
%A V. V. Mustsеvoy
%T Influence of dynemical radiative cooling on the local criterion of
%J Matematičeskaâ fizika i kompʹûternoe modelirovanie
%D 2014
%P 70-75
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VVGUM_2014_1_a8/
%G ru
%F VVGUM_2014_1_a8
V. V. Mustsеvoy. Influence of dynemical radiative cooling on the local criterion of. Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 1 (2014), pp. 70-75. http://geodesic.mathdoc.fr/item/VVGUM_2014_1_a8/

[1] R.\;A. Bisengaliev, V.\;V. Mustsevoy, “Effect of radiation cooling on the wave dispersion in a homogeneous medium with a magnetic field”, Astrophysical Bulletin, 69:2 (2014)

[2] A.\;G. Morozov, A.\;V. Khoperskov, Physics of disks, Izd-vo VolGU Publ., Volgograd, 2005, 423 pp.

[3] S.\;P. Pikelner, The origin and evolution of galaxies and stars, Nauka Publ., M., 1976, 408 pp.

[4] V.\;L. Polyachenko, A.\;M. Fridman, Equilibrium and stability gravitational systems, Nauka Publ., M., 1976, 447 pp.

[5] P.\;E. Hardee, J.\;M. Stone, “The stability of radiatively cooling jets. I. Linear analysis”, The Astrophysical Journal, 483:1 (1997), 121–135

[6] J. MacDonald, M.\;E. Bailey, “The evolution of flows of stellar mass loss in active galaxies”, Monthly Notices of the Royal Astronomical Society, 197:4 (1981), 995–1019

[7] A. Toomre, “On the gravitational stability of a disk of stars”, Astrophysical Journal, 139:4 (1964), 1217–1238