Blowup of Dyadic MHD Models with Forward Energy Cascade

Abstract A particular type of dyadic model for the magnetohydrodynamics (MHD) with dominating forward energy cascade is studied. The includes intermittency dimension $\delta $ in nonlinear scales. It shown that when small, positive solution large initial data either MHD or Hall develops blowup finite time. Moreover, a class velocity components and small magnetic field components, we prove there exists blows up at