2022•Applicable AnalysisRequires access

Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations

Hui Liu, Lin Lin, Chengfeng Sun

Abstract

The multi-dimensional hyperviscous magnetohydrodynamic equations are considered in this paper. The well-posedness of the multi-dimensional hyperviscous magnetohydrodynamic equations is proved. Global attractor of the multi-dimensional hyperviscous magnetohydrodynamic equations is proved in H12+n4×H12+n4 and H1+n2×H1+n2.

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Key concepts: Magnetohydrodynamic drive, Attractor, Magnetohydrodynamics, Mathematics, Mathematical analysis, Applied mathematics, Physics, Magnetic field