2 papers
physics.flu-dyn2022
On the Hill's Spherical Vortex in Fluid and Plasma, its Generalization, and Stability
Jason M. Keller, Alexei F. Cheviakov
In 1894 M.J.M. Hill published an article describing a spherical vortex moving through a stationary fluid. Using cylindrical coordinates and assuming the azimuthal velocity componen…
physics.plasm-ph2022
New Exact Plasma Equilibria with Axial and Helical Symmetry
Jason M. Keller, Alexei F. Cheviakov
Exact solutions to the static equilibrium magnetohydrodynamic equations are presented and discussed for both axially and helically reduced systems. For both symmetries, physical re…