Group classification of dynamics equations of self-gravitating gas

V.A Adarchenko,A.V Panov,S.M Voronin,I.I Klebanov

doi:10.1016/j.cnsns.2019.04.017

Group classification of dynamics equations of self-gravitating gas

V.A Adarchenko, A.V Panov + Show 2 more

https://doi.org/10.1016/j.cnsns.2019.04.017

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Journal: Communications in Nonlinear Science and Numerical Simulation

Publication Date: Apr 24, 2019

Affiliation: South Ural State Humanitarian Pedagogical University, South Ural State University, Chelyabinsk State University, All-Russian Scientific Research Institute of Technical Physics

#Group Classification Problem #Group Classification + Show 8 more

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Abstract

In the paper, a group classification problem is solved for a system of equations which describes motion of self-gravitating gas. A parameter in group classification problem is a function which is determined by an equation of state. A kernel of Lie algebras admitted by the system and an algebra of equivalence transformations group are derived. All specifications of the parameter that lead to extensions of the kernel are found.

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