|
Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1168–1181
(Mi smj1358)
|
|
|
|
This article is cited in 7 scientific papers (total in 7 papers)
Irregular partially invariant solutions of rank 2 and defect 1 to equations of gas dynamics
S. V. Khabirov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
Abstract:
We consider three-dimensional subalgebras admitted by the equations of gas dynamics having time as an invariant and containing no rotation operator. For such subalgebras we seek for irregular partially invariant solutions of rank 2 and defect 1. The representation for solutions has the form which generalizes motion of a gas with a linear velocity field. We show that partially invariant solutions exist for each subalgebra. We describe the set of these solutions. We find solutions with the indicated representation that are not partially invariant. The solutions reducible to invariant solutions are generalized to new submodels.
Keywords:
partially invariant solution, gas dynamics.
Received: 26.04.2001
Citation:
S. V. Khabirov, “Irregular partially invariant solutions of rank 2 and defect 1 to equations of gas dynamics”, Sibirsk. Mat. Zh., 43:5 (2002), 1168–1181; Siberian Math. J., 43:5 (2002), 942–954
Linking options:
https://www.mathnet.ru/eng/smj1358 https://www.mathnet.ru/eng/smj/v43/i5/p1168
|
Statistics & downloads: |
Abstract page: | 210 | Full-text PDF : | 103 |
|