Symmetries of fluid dynamics with polytropic exponent
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 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 γ=-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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