Add to ORKGWe propose covariant and non-abelian generalizations of the magnetic helicity and Beltrami equation. The gauge invariance, variational principle, conserved current, energy-momentum tensor and choice of boundary conditions elucidate the subject. In particular, we prove that any extremal of the Yang-Mills action functional 1/4 f(Omega) trF(mu nu) F-mu nu d(4)x subject to the local constraint epsilon(mu nu alpha beta)trF(mu nu)F(alpha beta) = 0 satisfies the covariant non-abelian Beltrami equation
Beltrami fields, eigen functions of the curl operator, represent the static force-free relaxed state...
Context. Relative magnetic helicity is conserved by magneto-hydrodynamic evolution even in the prese...
We introduce six families of three-dimensional space-periodic steady solenoidal flows, whose kinetic...
We prove that the correspondence between Reeb and Beltrami vector fields can be made equivariant whe...
In a previous paper [R. González, L. G. Sarasua, and A. Costa, "Kelvin waves with helical Beltrami f...
We consider the existence of Beltrami fields with a nonconstant proportionality factor f in an open ...
In this paper, Beltrami vector fields in several orthogonal coordinate systems are obtained analytic...
A grand unified field tensor [Greek capital letter Mu] [Greek small letter mu] [Greek small letter n...
We prove that bounded Beltrami fields must be symmetric if a proportionality factor depends on 2 var...
Projecting a non-Abelian SU(2) vacuum gauge field - a pure gauge constructed from the group element ...
The nonlinear, three-dimensional Euler equations can be reduced to a simple linear equation when the...
www.et3m.net) The Beltrami equation is derived from the Cartan identity assuming that the magnetic m...
Fluxes of the magnetic helicity density play an important role in large-scale turbulent dynamos, all...
A vector field is called a Beltrami vector field, if $B\times(\nabla\times B)=0$. In this paper we c...
A new family of solutions has been found for force-free magnetic fields and Beltrami flows, which ad...
Beltrami fields, eigen functions of the curl operator, represent the static force-free relaxed state...
Context. Relative magnetic helicity is conserved by magneto-hydrodynamic evolution even in the prese...
We introduce six families of three-dimensional space-periodic steady solenoidal flows, whose kinetic...
We prove that the correspondence between Reeb and Beltrami vector fields can be made equivariant whe...
In a previous paper [R. González, L. G. Sarasua, and A. Costa, "Kelvin waves with helical Beltrami f...
We consider the existence of Beltrami fields with a nonconstant proportionality factor f in an open ...
In this paper, Beltrami vector fields in several orthogonal coordinate systems are obtained analytic...
A grand unified field tensor [Greek capital letter Mu] [Greek small letter mu] [Greek small letter n...
We prove that bounded Beltrami fields must be symmetric if a proportionality factor depends on 2 var...
Projecting a non-Abelian SU(2) vacuum gauge field - a pure gauge constructed from the group element ...
The nonlinear, three-dimensional Euler equations can be reduced to a simple linear equation when the...
www.et3m.net) The Beltrami equation is derived from the Cartan identity assuming that the magnetic m...
Fluxes of the magnetic helicity density play an important role in large-scale turbulent dynamos, all...
A vector field is called a Beltrami vector field, if $B\times(\nabla\times B)=0$. In this paper we c...
A new family of solutions has been found for force-free magnetic fields and Beltrami flows, which ad...
Beltrami fields, eigen functions of the curl operator, represent the static force-free relaxed state...
Context. Relative magnetic helicity is conserved by magneto-hydrodynamic evolution even in the prese...
We introduce six families of three-dimensional space-periodic steady solenoidal flows, whose kinetic...