Deugoue, GabrielRazafimandimby, Paul AndreSango, Mamadou2017-01-122017-01-122012-05Deugoue, G, Razafimandimby, PA & Sango, M 2012, 'On the 3-D stochastic magnetohydrodynamic-α model', Stochastic Processes and Their Applications, vol. 122, no. 5, pp. 2211-2248.0304-414910.1016/j.spa.2012.03.002http://hdl.handle.net/2263/58488We consider the stochastic three dimensional magnetohydrodynamic-α model (MHD-α) which arises in the modeling of turbulent flows of fluids and magnetofluids. We introduce a suitable notion of weak martingale solution and prove its existence. We also discuss the relation of the stochastic 3D MHD-α model to the stochastic 3D magnetohydrodynamic equations by proving a convergence theorem, that is, as the length scale α tends to zero, a subsequence of weak martingale solutions of the stochastic 3D MHD-α model converges to a certain weak martingale solution of the stochastic 3D magnetohydrodynamic equations. Finally, we prove the existence and uniqueness of the probabilistic strong solution of the 3D MHD-α under strong assumptions on the external forces.en© 2012 Elsevier B.V. All rights reserved. Open access under an Elsevier user license.Martingale solutionCompactness methodTightnessMagnetohydrodynamic-αα model (MHD-αα)Magnetohydrodynamic (MHD)Navier–Stokes equations (NSE)Navier–Stokes-αα modelArticle