Abstract:
In this paper, we study a system of nonlinear stochastic partial differential equations describing the motion of
turbulent non-Newtonian media in the presence of fluctuating magnetic field. The system is basically obtained by a coupling
of the dynamical equations of a non-Newtonian fluids having p-structure and the Maxwell equations. We mainly show the
existence of weak martingale solutions and their exponential decay when time goes to infinity.
