Helicity and Vortex generation
arXiv:1712.06437 · doi:10.1016/j.aop.2018.09.008
Abstract
In this paper we have continued the calculations made recently concerning he generalization of the minimal coupling prescription. We have obtained the Navier-Stokes equation for the charged fluid embedded into an electromagnetic field. We have analyzed the wave feature of the fields. Wave equations for velocity and vorticity were obtained and gauge choices were discussed. In this paper we have studied the evolution of helicity and circulation from the Maxwell type formulation to the equations of a compressible fluid, charged in interaction with an electromagnetic field. We see that for both helicity and circulation there are terms that, in principle, can be considered as source terms or creation of circulation in the dynamics of fluids
9 pages. Preprint format. arXiv admin note: text overlap with arXiv:1609.06238
References in corpus (3)
- Generalized Second Law and phantom Cosmology: accreting black holes
- Compressible Fluids with Maxwell-type equations, the minimal coupling with electromagnetic field and the Stefan-Boltzmann law
- Faddeev-Jackiw analysis for the charged compressible fluid in a higher-derivative electromagnetic field background