| Volume 10, Number 2, 2020, Pages 624-648 DOI：10.11948/20190043 |
| Upper bounds on the number of determining modes, nodes, and volume elements for a 3D magenetohydrodynamic-$\alpha$ model |
| Cung The Anh,Nguyen Thi Minh Toai,Vu Manh Toi |
| Keywords:MHD-$\alpha$ model, determining modes, determining nodes, determining volume elements. |
| Abstract: |
| In this paper we give upper bounds on the number of determining Fourier modes, determining nodes, and determining volume elements for a 3D MHD-$\alpha$ model. Here the bounds are estimated explicitly in terms of flow parameters, such as viscosity, magnetic diffusivity, smoothing length, forcing and domain size. |
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