Global small solutions of MHD boundary layer equations in Gevrey function space
Abstract
In this paper, we obtain global small solutions and decay estimates for the MHD boundary layer in Gevrey space without any structural assumptions, generalizing the results of NL in analytic space. The proof method is mainly inspired by WXLY and CW, using new auxiliary functions and finer structural analysis to overcome the difficulty of the loss of derivatives and then we obtain the global well-posedness of the MHD boundary layer in the Gevrey 32 space.
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