Kelvin's Canonical Circulation Theorem in Hall Magnetohydrodynamics
  The purpose of this paper is to show that, thanks to the restoration of the legitimate connection between the current density and the plasma flow velocity in Hall magnetohydrodynamics (MHD), Kelvin's Circulation Theorem becomes valid in Hall MHD. The ion-flow velocity in the usual circulation integral is now replaced by the canonical ion-flow velocity. 
B. K. Shivamoggi
physics.plasm-ph