Global small solutions of MHD boundary layer equations in Gevrey function space
Analysis of PDEs
2022-09-22 v1
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 space.
Cite
@article{arxiv.2209.10186,
title = {Global small solutions of MHD boundary layer equations in Gevrey function space},
author = {Zhong Tan and Zhonger Wu},
journal= {arXiv preprint arXiv:2209.10186},
year = {2022}
}