Existence, uniqueness and decay rates of a certain type of 3D Hall-MHD equations with power-law type.

We investigate the local-in-time existence results of classical solutions to the 3D (Hall-)MHD equations with power-law type nonlinear viscous fluid when magnetic resistance is vanished and also show the global-in-time existence of classical solutions under small initial data. Moreover, we prove the space-time decay property for these solutions. [ABSTRACT FROM AUTHOR]