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Differential invariants for plane flows of viscid fluids


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Abstract

Algebras of symmetries and the corresponding algebras of differential invariants for plane flows of viscid fluids are given. Their dependence on thermodynamical states of media are studied and a classification of thermodynamical states is given.

About the authors

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. 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. 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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