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.

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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.
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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