Bounds on the infimum decay rate for axisymmetric incompressible dynamos

Abstract

The variational lower bound v > 0.39π² determined by Ivers (1984) for the infimum decay rate v of axisymmetric poloidal magnetic fields is corroborated numerically and an upper bound v < 0.66°² established. This is achieved by correcting and extending results for certain flows considered by Chandrasekhar (1956).