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https://repositorio.ufba.br/handle/ri/16547
metadata.dc.type: | Artigo de Periódico |
Title: | Lorentz-like covariant equations of non-relativistic fluids |
Other Titles: | Journal of Physics -London- a Mathematical and General |
Authors: | Santana, Ademir Eugênio de Montigny, M. de Khanna, Faqir C. |
metadata.dc.creator: | Santana, Ademir Eugênio de Montigny, M. de Khanna, Faqir C. |
Abstract: | We use a geometrical formalism of Galilean invariance to build various hydrodynamics models. It consists in embedding the Newtonian spacetime into a non-Euclidean 4 + 1 space and provides thereby a procedure that unifies models otherwise apparently unrelated. After expressing the Navier– Stokes equation within this framework, we show that slight modifications of its Lagrangian allow us to recover the Chaplygin equation of state as well as models of superfluids for liquid helium(with both its irrotational and rotational components). Other fluid equations are also expressed in a covariant form. |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/16547 |
Issue Date: | 2003 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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A. E. Santana.pdf | 215,57 kB | Adobe PDF | View/Open |
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