Abstract
Symmetries and the corresponding fields of differential invariants of the inviscid flows on a curve are given. Their dependence on thermodynamic states of media is studied, and a classification of thermodynamic states is given.
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Funding
The research was partially supported by the Russian Foundation for Basic Research, project no. 18-29-10013.
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(Submitted by I. S. Krasil’shchik)
APPLICATIONS
APPLICATIONS
In Table 1 we summarize the connection between the function \(h\) and the symmetry Lie algebra of the system (1), see Section 2 for details.
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Duyunova, A., Lychagin, V. & Tychkov, S. Symmetries and Differential Invariants for Inviscid Flows on a Curve. Lobachevskii J Math 41, 2435–2447 (2020). https://doi.org/10.1134/S1995080220120100
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DOI: https://doi.org/10.1134/S1995080220120100