Global small solutions of MHD boundary layer equations in Gevrey function space

2022/09/21 by Tan, Zhong, Wu, Zhonger
#35Q35 #76D10 #76W05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.10186

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 \citeNL in analytic space. The proof method is mainly inspired by \citeWXLY and \citeCW, 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 (3)/(2) space.

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