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Differential invariants for plane flows of inviscid fluids

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Abstract

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

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References

  1. Anderson, I.M., Torre, C.G.: The Differential Geometry Package. Downloads. Paper 4. http://digitalcommons.usu.edu/dg_downloads/4 (2016)

  2. Carathéodory, C.: Untersuchungen über die Grundlagen der Thermodynamik. Mathematische Annalen 67, 355–386 (1909)

    Article  MathSciNet  Google Scholar 

  3. Kruglikov, B., Lychagin, V.: Mayer brackets and solvability of PDEs—I. Differ. Geom. Appl. 17, 251–272 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. Kruglikov, B., Lychagin, V.: Global Lie–Tresse theorem. Sel. Math. 22, 1357–1411 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  5. Rosenlicht, M.: A remark on quotient spaces. An. Acad. Bras. Cienc. 35, 487–489 (1963)

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

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

    Anna Duyunova, Valentin Lychagin & Sergey Tychkov

  2. University of Tromsø, Tromsø, Norway

    Valentin Lychagin

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.

Additional information

Valentin Lychagin and Sergey Tychkov are supported by RSF Grant #15-19-00275.

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Duyunova, A., Lychagin, V. & Tychkov, S. Differential invariants for plane flows of inviscid fluids. Anal.Math.Phys. 8, 135–154 (2018). https://doi.org/10.1007/s13324-017-0169-5

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  • DOI: https://doi.org/10.1007/s13324-017-0169-5

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