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arXiv · 1412.1704

Abelian and non-Abelian considerations upon compressible fluids with Maxwell-type equations and the minimal coupling with electromagnetic field

Everton M. C. Abreu·Jorge Ananias Neto·Albert C. R. Mendes
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Abstract

In this work we have obtained Maxwell-type equations for a compressible fluid which sources are functions of velocity and vorticity. A correlation function and the dispersion relation were analyzed as function of the Reynolds number. A Lagrangian for the Lamb vector and the vorticity was constructed and the equations of motion were discussed. After that, we have analyzed the case of a charged fluid dynamics. Finally, the non-Abelian generalization of some results was introduced. A basic review for non-Abelian fluids was described in the Appendix.

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Everton M. C. Abreu, Jorge Ananias Neto, Albert C. R. Mendes. 2014-12-04. Abelian and non-Abelian considerations upon compressible fluids with Maxwell-type equations and the minimal coupling with electromagnetic field. https://arxiv.org/abs/1412.1704

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