Symmetries of fluid dynamics with polytropic exponent

Details Symmetries of fluid dynamics with polytropic exponent Symmetries of fluid dynamics with polytropic exponent

2000-09-12

arxiv.org/abs/hep-th/0009092v5

Phys.Lett. A279 (2001) 215-222

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0375-9601(00)00834-3

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.

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