Razafimandimby, Paul AndreSango, Mamadou2015-07-132015-07-132015-10Razafimandimby, PA & Sango, M 2015, 'Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations', Zeitschrift für angewandte Mathematik und Physik, vol. 66, no. 5, pp. 2197-2235.0044-2275 (print)1420-9039 (online)10.1007/s00033-015-0534-xhttp://hdl.handle.net/2263/48016In 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.en© 2015 Springer Basel. The original publication is available at : http://link.springer.com/journal/33Time behaviourStochastic modelDynamical equationsMaxwell equationsNon-Newtonian fluidsMagnetohydrodynamics (MHD)Martingale solutionAsymptotic behaviorLong-time behaviorExponential decayPostprint Article