Geodesic
Group of symmetries for the dynamics system of equations of rarefied two-phase medium
Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 1, pp. 77-89

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

The symmetries of the system of equations of a two-phase medium are found, where the first phase is gas and the second one is solid particles. The second phase is considered rarefied, it is expressed in the absence of pressure in the equations of motion of the second phase. The medium is assumed to be nonisothermal. Using the methods of group analysis, the Lie algebras of symmetries of the model under study are found in the one-dimensional and three-dimensional cases. The paper describes in detail the process of searching for symmetries in the case of equations of state for a perfect gas. Some partially invariant solutions are found for the one-domensional system.
Keywords: rarefied gas suspension, two-phase fluid, symmetry group, Lie algebra. 
@article{CHFMJ_2024_9_1_a5,
     author = {G. D. Turova},
     title = {Group of symmetries for the dynamics system of equations of rarefied two-phase medium},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {77--89},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_1_a5/}
}
TY  - JOUR
AU  - G. D. Turova
TI  - Group of symmetries for the dynamics system of equations of rarefied two-phase medium
JO  - Čelâbinskij fiziko-matematičeskij žurnal
PY  - 2024
SP  - 77
EP  - 89
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_1_a5/
LA  - ru
ID  - CHFMJ_2024_9_1_a5
ER  - 
%0 Journal Article
%A G. D. Turova
%T Group of symmetries for the dynamics system of equations of rarefied two-phase medium
%J Čelâbinskij fiziko-matematičeskij žurnal
%D 2024
%P 77-89
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_1_a5/
%G ru
%F CHFMJ_2024_9_1_a5
G. D. Turova. Group of symmetries for the dynamics system of equations of rarefied two-phase medium. Čelâbinskij fiziko-matematičeskij žurnal, Tome 9 (2024) no. 1, pp. 77-89. http://geodesic.mathdoc.fr/item/CHFMJ_2024_9_1_a5/