Abstract
In this paper, we establish the global well-posedness of the generalized rotating magnetohydrodynamics equations if the initial data are in X1−2α defined by \({x^{1 - 2\alpha }} = \left\{ {u \in D'\left( {{R^3}} \right):{{\int_{{R^3}} {\left| \xi \right|} }^{1 - 2\alpha }}\left| {\hat u\left( \xi \right)} \right|d\xi < + \infty } \right\}\). In addition, we also give Gevrey class regularity of the solution.
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Supported by NSFC (Grant Nos. 11471309 and 11771423) and NSFC of Fujian (Grant No. 2017J01564)
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Wang, W.H., Wu, G. Global well-posedness of the 3D generalized rotating magnetohydrodynamics equations. Acta. Math. Sin.-English Ser. 34, 992–1000 (2018). https://doi.org/10.1007/s10114-017-7276-y
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DOI: https://doi.org/10.1007/s10114-017-7276-y