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Differential invariants for spherical layer flows of inviscid fluids

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Abstract

Symmetries and the corresponding algebras of differential invariants of inviscid fluids on a spherical layer are given. Their dependence on thermodynamical states of the medium is studied, and a classification of thermodynamical states is given.

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Authors and Affiliations

  1. Institute of Control Sciences of RAS, Bauman Moscow State Technical University, Moscow, Russia

    Anna Duyunova

  2. Institute of Control Sciences of RAS, University of Tromsø, Tromsø, Norway

    Valentin Lychagin

  3. Institute of Control Sciences of RAS, Moscow, Russia

    Sergey Tychkov

Authors
  1. Anna Duyunova
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  2. Valentin Lychagin
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  3. Sergey Tychkov
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Corresponding author

Correspondence to Sergey Tychkov.

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Duyunova, A., Lychagin, V. & Tychkov, S. Differential invariants for spherical layer flows of inviscid fluids. Anal.Math.Phys. 9, 1819–1829 (2019). https://doi.org/10.1007/s13324-018-0274-0

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  • DOI: https://doi.org/10.1007/s13324-018-0274-0

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