Geodesic
Group properties of 2-submodels for the stationary class of gas-dynamic equations
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 1, pp. 72-84
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Invariant 2-submodels (submodels with two independent variables) of the stationary class are considered for the equations of gas dynamics with an equation of state of general form. Group analysis of these submodels is performed. Allowable operators and transformations of equivalence are indicated, and group classification is performed. 
@article{VNGU_2007_7_1_a5,
     author = {E. V. Mamontov},
     title = {Group properties of 2-submodels for the stationary class of gas-dynamic equations},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {72--84},
     year = {2007},
     volume = {7},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2007_7_1_a5/}
}
TY  - JOUR
AU  - E. V. Mamontov
TI  - Group properties of 2-submodels for the stationary class of gas-dynamic equations
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2007
SP  - 72
EP  - 84
VL  - 7
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VNGU_2007_7_1_a5/
LA  - ru
ID  - VNGU_2007_7_1_a5
ER  - 
%0 Journal Article
%A E. V. Mamontov
%T Group properties of 2-submodels for the stationary class of gas-dynamic equations
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2007
%P 72-84
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/VNGU_2007_7_1_a5/
%G ru
%F VNGU_2007_7_1_a5
E. V. Mamontov. Group properties of 2-submodels for the stationary class of gas-dynamic equations. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 1, pp. 72-84. http://geodesic.mathdoc.fr/item/VNGU_2007_7_1_a5/

[1] Khabirov S. V., “K analizu invariantnykh podmodelei ranga tri uravnenii gazovoi dinamiki”, Dokl. RAN, 341:6 (1995), 764–766 | Zbl

[2] Mamontov E. V., “Invariantnye podmodeli ranga dva uravnenii gazovoi dinamiki”, PMTF, 40:2 (1999), 50–55 | MR

[3] Ovsyannikov L. V., “Programma PODMODELI. Gazovaya dinamika”, Prikl. matematika i mekhanika, 58:4 (1994), 30–55 | MR | Zbl

[4] Khabirov S. V., “Techeniya gaza so spiralnymi poverkhnostyami urovnya”, PMTF, 40:2 (1999), 34–39 | MR | Zbl

[5] Garifullin A. R., “Gruppovaya klassifikatsiya gidrodinamicheskoi sistemy ranga dva statsionarnogo tipa”, SibZhIM, VII:3(19) (2004), 66–75 | Zbl

[6] Khabirov S. V., “Submodel of the spiral stationary motion in gas dynamics”, Modern Group Analysis VII, Mars Publ., Thondheim, 1999, 181–187