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Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamics equations
  • Hui Liu,
  • Chengfeng Sun
Hui Liu
Qufu Normal University
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Chengfeng Sun
Nanjing University of Finance and Economics
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Abstract

The multi-dimensional hyperviscous magnetohydrodynamics equation is considered in this paper. The well-posedness of the multi-dimensional hyperviscous magnetohydrodynamics equation is proved. Global attractor of the multi-dimensional hyperviscous magnetohydrodynamics equations is proved in Η1/2+n/4×Η1/2+n/4 and Η1+n/2×Η1+n/2.