کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1156735 | 958862 | 2012 | 38 صفحه PDF | دانلود رایگان |
We consider the stochastic three dimensional magnetohydrodynamic-αα model (MHD-αα) 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-αα model to the stochastic 3D magnetohydrodynamic equations by proving a convergence theorem, that is, as the length scale αα tends to zero, a subsequence of weak martingale solutions of the stochastic 3D MHD-αα 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-αα under strong assumptions on the external forces.
Journal: Stochastic Processes and their Applications - Volume 122, Issue 5, May 2012, Pages 2211–2248