Viscous mhd solutions with no transfer of energy through the spectrum |
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| Authors: | O. Bogoyavlenskij |
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| Affiliation: | Department of Mathematics, Queen's University, K7L 3N6 Kingston, Canada; Department of Mathematics and Informatics, University of Paderborn, D-33 095 Paderborn, Germany |
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| Abstract: | Exact space periodic solutions to the viscous magnetohydrodynamics equations with arbitrary vector periods p1, p2, p3 are derived. A complete classification of the pj-periodic MHD solutions with pairwise noninteracting Fourier modes is obtained. The solutions have no transfer of energy through the spectrum and are smooth for all values of the time variable t ≥ 0. |
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| Keywords: | Space periodic MHD solutions Fourier modes Beltrami flows equipartition solutions |
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