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Group-Theoretic Classification of the Equations of Motion of a Homogeneous or Inhomogeneous Inviscid Fluid in the Presence of Planar and Rotational Symmetry

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 450))

Abstract

In this section we give a brief overview of the classical facts of the theory of group analysis of differential equations which are systematically presented in the works by L. V. Ovsyannikov [127] and N. Kh. Ibragimov [73]. The basics of the theory are exposed in finite dimensions.

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© 1998 Springer Science+Business Media Dordrecht

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Andreev, V.K., Kaptsov, O.V., Pukhnachov, V.V., Rodionov, A.A. (1998). Group-Theoretic Classification of the Equations of Motion of a Homogeneous or Inhomogeneous Inviscid Fluid in the Presence of Planar and Rotational Symmetry. In: Applications of Group-Theoretical Methods in Hydrodynamics. Mathematics and Its Applications, vol 450. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0745-9_1

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  • DOI: https://doi.org/10.1007/978-94-017-0745-9_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5083-0

  • Online ISBN: 978-94-017-0745-9

  • eBook Packages: Springer Book Archive

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