Existence and large time behavior for a stochastic model of modified magnetohydrodynamic equations
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Date
Authors
Razafimandimby, Paul Andre
Sango, Mamadou
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Journal ISSN
Volume Title
Publisher
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.
Description
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.