1983/01/01 by Eliezer Hameiri · 1 citation
Engineering · Physics and Astronomy · Mathematics · #Fluid Dynamics and Turbulent Flows #Solar and Space Plasma Dynamics #Navier-Stokes equation solutions
paper · doi:10.1063/1.864012
In a rotating equilibrium state, the velocity and magnetic fields are shown to share the same flux surfaces. A simplified derivation is given of a second-order (not necessarily elliptic) partial differential equation which determines axisymmetric equilibrium states. For general configurations, equations on flux surfaces which determine the Alfvén and cusp continuous spectrum are derived and the stability investigated. These equations are written without the use of any particular coordinate system. Similar equations yield a sufficient condition for global stability of axisymmetric equilibria if the flow is parallel to the magnetic field up to a rigid rotation of the plasma. This condition is also necessary for stability in a mirror configuration with no toroidal field and a pure rigid rotation.