Existence and large time behaviour for a stochastic model of a modified magnetohydrodynamic equations
arXiv:1112.3271 · doi:10.1007/s00033-015-0534-x
Abstract
In this paper we initiate the mathematical analysis of 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 -structure and the Maxwell equations. We mainly show the existence of weak martingale solutions and their exponential decay when time goes to infinity.
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