Abelian and non-Abelian considerations upon compressible fluids with Maxwell-type equations and the minimal coupling with electromagnetic field
Fluid Dynamics
2014-12-05 v1
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.
Keywords
Cite
@article{arxiv.1412.1704,
title = {Abelian and non-Abelian considerations upon compressible fluids with Maxwell-type equations and the minimal coupling with electromagnetic field},
author = {Everton M. C. Abreu and Jorge Ananias Neto and Albert C. R. Mendes},
journal= {arXiv preprint arXiv:1412.1704},
year = {2014}
}