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Differential Invariants for Spherical Flows of Inviscid Fluid


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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

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