Upper bounds on the number of determining modes, nodes, and volume elements for a 3D magenetohydrodynamic-$alpha$ model |
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| Authors: | Cung The Anh Nguyen Thi Minh Toai Vu Manh Toi |
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| Affiliation: | Department of Mathematics, Hanoi National University of Education,Department of Mathematics, Hanoi National University of Education and Faculty of Computer Science and Engineering, Thuyloi University |
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| 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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| Keywords: | MHD-$alpha$ model determining modes determining nodes determining volume elements. |
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