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Application of Computer Algebra for Investigation of Group Properties of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas

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Computer Algebra in Scientific Computing CASC 2001

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Abstract

In the paper the equations describing plane motion of a viscous heat-conducting perfect gas with polytropic equation of state are investigated. On the basis of methods of the group analysis of differential equations [1] some classes of exact solutions are constructed, namely, invariant and partially invariant. We use essentially the computer algebra systems for finding the symmetry group and for constructing the solution.

This research was financially supported by INTAS (grant 99-1222) and the Russian Foundation for Basic Research (projects 99-01-00515 and 01-01-06171).

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Author information

Authors and Affiliations

  1. Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Siberian Branch, Institutskaya str., 4/1, Novosibirsk, 630090, Russia

    Vasiliy V. Bublik

Authors
  1. Vasiliy V. Bublik
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Editors and Affiliations

  1. Institut für Informatik, Technische Universität München, 80290, München, Germany

    Victor G. Ganzha  & Ernst W. Mayr  & 

  2. Institute of Theoretical and Applied Mathematics, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    Evgenii V. Vorozhtsov

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Bublik, V.V. (2001). Application of Computer Algebra for Investigation of Group Properties of the Navier-Stokes Equations for Compressible Viscous Heat-Conducting Gas. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing CASC 2001. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56666-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-56666-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62684-5

  • Online ISBN: 978-3-642-56666-0

  • eBook Packages: Springer Book Archive

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