Group classification of dynamics equations of self-gravitating gas
| Autor: | S. M. Voronin, Igor I. Klebanov, A. V. Panov, V. A. Adarchenko |
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| Rok vydání: | 2019 |
| Předmět: |
Numerical Analysis
Equation of state Group (mathematics) Applied Mathematics Motion (geometry) Function (mathematics) System of linear equations Kernel (algebra) Modeling and Simulation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Lie algebra Applied mathematics Equivalence (measure theory) Mathematics |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 77:18-24 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2019.04.017 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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