Symmetries of fluid dynamics with polytropic exponent

M. Hassaïne; P. A. Horváthy

doi:10.1016/S0375-9601(00)00834-3

Symmetries of fluid dynamics with polytropic exponent

High Energy Physics - Theory 2016-08-15 v5

Authors: M. Hassaïne , P. A. Horváthy

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Abstract

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.

Keywords

fluid dynamics polytropic exponent symmetries Kaluza-Klein Euler equations duality transformation

Cite

@article{arxiv.hep-th/0009092,
  title  = {Symmetries of fluid dynamics with polytropic exponent},
  author = {M. Hassaïne and P. A. Horváthy},
  journal= {arXiv preprint arXiv:hep-th/0009092},
  year   = {2016}
}

Comments

10 pages, LaTex, no figures. Revised version: A new proof of the Schrodinger symmetry and two more references added. To appear in Phys. Lett. A

Symmetries of fluid dynamics with polytropic exponent

Abstract

Keywords

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