Differential Invariants for Spherical Flows of Inviscid Fluid
- Authors: Duyunova A.A.1, Lychagin V.V.1,2, Tychkov S.N.1
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Affiliations:
- V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
- UiT The Arctic University of Tromsø
- Issue: Vol 39, No 5 (2018)
- Pages: 655-663
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/202187
- DOI: https://doi.org/10.1134/S1995080218050062
- ID: 202187
Cite item
Abstract
Symmetries and the corresponding algebras of differential invariants of inviscid fluids on a sphere are given. Their dependence on thermodynamical states of media is studied, and a classification of thermodynamical states is given.
About the authors
A. A. Duyunova
V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
Author for correspondence.
Email: duyunova_anna@mail.ru
Russian Federation, ul. Profsoyuznaya 65, Moscow, 117997
V. V. Lychagin
V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences; UiT The Arctic University of Tromsø
Email: duyunova_anna@mail.ru
Russian Federation, ul. Profsoyuznaya 65, Moscow, 117997; Hansine Hansens veg 18, Tromsø, 9019
S. N. Tychkov
V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
Email: duyunova_anna@mail.ru
Russian Federation, ul. Profsoyuznaya 65, Moscow, 117997