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arXiv · 2209.10186

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

Zhong Tan·Zhonger Wu
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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 \cite{NL} in analytic space. The proof method is mainly inspired by \cite{WXLY} and \cite{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 $\frac{3}{2}$ space.

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Zhong Tan, Zhonger Wu. 2022-09-21. Global small solutions of MHD boundary layer equations in Gevrey function space. https://arxiv.org/abs/2209.10186

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