On the Linear Stability of Magnetized Jets Without Current Sheets:   Non-Relativistic Case
  In this paper we consider stability of magnetized jets that carry no net electric current and do not have current sheets (Gourgouliatos et al. 2012). The non-relativistic MHD equations are linearized around the background velocity and the magnetic field structure of the jet. The resulting linear equations are solved numerically inside the jet. We find that introduction of current-sheet-free magnetic field significantly improves jet stability relative to unmagnetized jets or magnetized jets with current sheets at their surface. This particularly applies to the fundamental pinch and kink modes - they become completely suppressed in a wide range of long wavelengths that are known to become most pernicious to jet stability when the evolution enters the non-linear regime. The reflection modes, both for the pinch and kink instability, also become progressively more stable with increased magnetization. 
Jinho Kim, Dinshaw S. Balsara, Maxim Lyutikov, Sergei S. Komissarov,   Daniel George and Prasanna Kumar Siddireddy
astro-ph.HE