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Global well-posedness of the 3D generalized MHD equations in Lei–Lin–Gevrey and Lei–Lin spaces

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Abstract

This work establishes the existence of a unique global mild solution for the 3D generalized magnetohydrodynamics equations in Lei–Lin–Gevrey and Lei–Lin spaces; provided that the initial data are assumed to be small enough.

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Correspondence to Wilberclay G. Melo.

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T. S. R. Santos: This author was partially supported by CNPq Grant 134250/2019-2.

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Melo, W.G., Santos, T.S.R. & Zingano, P.R. Global well-posedness of the 3D generalized MHD equations in Lei–Lin–Gevrey and Lei–Lin spaces. Z. Angew. Math. Phys. 71, 195 (2020). https://doi.org/10.1007/s00033-020-01421-6

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  • DOI: https://doi.org/10.1007/s00033-020-01421-6

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