Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations

This paper concerns the three-dimensional incompressible generalized magnetohydrodynamic equations. By using the Lei and Lin (Commun Pure Appl Math 64:1297–1304 2011) argument, we get the global well-posedness of the generalized magnetohydrodynamic equations with small initial data. Moreover, we prove that the corresponding global solution decays to zero as time goes to infinity.

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