Symmetries of Dynamics Equations of Polytropic Gas with Self-gravitaty
Author(s):
Igor Iosifovich Klebanov
South Ural State University (national research university)
Assoc.Prof., Dept.Physical Electronics
South Ural State Humanitarian Pedagogical University
Assoc.Prof.,Dept. Mathematics
klebanov.igor2010@yandex.ru
Sergey Ivanov
South Ural State University (national research university),
associate professor,Candidate of science
saivanov@susu.ru
Olga Maslova
South Ural State Humanitarian Pedagogical University,
postgraduate student,
o.v.startsun@gmail.com
Abstract:
It is established that the system of dynamics equations of
non-relativistic polytropic perfect self-gravitating gas admits
infinite-dimensional Lie algebra with four arbitrary functions of time.
In contrast to the case of arbitrary state equation the group of symmetries
is expanded, allowing also dilations.
Keywords
- dynamics equations
- Lie point symmetries
- polytropic self-gravitating gas
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