Symmetries of fluid dynamics with polytropic exponent

The symmetries of the general Euler equations of fluid dynamics with polytropic exponent are determined using the Kaluza-Klein type framework of Duval et $\it{al}$. In the standard polytropic case the recent results of O'Raifeartaigh and Sreedhar are confirmed and generalized. Similar results are proved for polytropic exponent $\gamma=-1$, which corresponds to the dimensional reduction of $d$-branes. The relation between the duality transformation used in describing supernova explosion and Cosmology is explained.

• Publication year

  2000

• Venue

  arXiv: High Energy Physics - Theory

• Publication date

  2000-09-12

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/S0375-9601(00)00834-3arXiv hep-th/0009092
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  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

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