Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations

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Authors

Razafimandimby, Paul Andre
Sango, Mamadou

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Springer

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.

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Keywords

Time behaviour, Stochastic model, Dynamical equations, Maxwell equations, Non-Newtonian fluids, Magnetohydrodynamics (MHD), Martingale solution, Asymptotic behavior, Long-time behavior, Exponential decay

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Citation

Razafimandimby, 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.