Geodesic
Submodels of gas motion with a linear velocity field in the degenerate case
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 139-150 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We look for solutions in the form of a linear velocity field for the gas dynamics equations with an arbitrary state equation. We find all possible state equations and the corresponding differential equations of submodels when the auxiliary matrix is degenerate.
Keywords: gasodynamics, state equation, linear velocity field. 
@article{SJIM_2011_14_2_a16,
     author = {Yu. V. Yulmukhametova},
     title = {Submodels of gas motion with a~linear velocity field in the degenerate case},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {139--150},
     year = {2011},
     volume = {14},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a16/}
}
TY  - JOUR
AU  - Yu. V. Yulmukhametova
TI  - Submodels of gas motion with a linear velocity field in the degenerate case
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2011
SP  - 139
EP  - 150
VL  - 14
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a16/
LA  - ru
ID  - SJIM_2011_14_2_a16
ER  - 
%0 Journal Article
%A Yu. V. Yulmukhametova
%T Submodels of gas motion with a linear velocity field in the degenerate case
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2011
%P 139-150
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a16/
%G ru
%F SJIM_2011_14_2_a16
Yu. V. Yulmukhametova. Submodels of gas motion with a linear velocity field in the degenerate case. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 139-150. http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a16/

[1] Tarasova Yu. V., “Klassifikatsiya podmodelei s lineinym polem skorostei v gazovoi dinamike”, Sib. zhurn. industr. matematiki, 12:4 (2009), 128–136 | MR

[2] Khabirov S. V., “Ploskie dvizheniya gaza bez raskhozhdeniya s lineinym polem skorostei”, Ufim. mat. zhurn., 2:3 (2010), 113–119

[3] Fujimoto M., “Gravitational collapse of rotating gaseous ellipsoids”, Astrophys. J., 152 (1967), 523–536 | DOI

[4] Tarasova Yu. V., “Podmodeli dvizheniya gaza s lineinym polem skorostei i s nulevoi vspomogatelnoi matritsei”, Ufim. mat. zhurn., 1:3 (2009), 125–131