@Article{ATA-36-1,
author = {Chen , DongxiangRen , SiqiWang , Yuxi and Zhang , Zhifei},
title = {Long Time Well-Posedness of the MHD Boundary Layer Equation in Sobolev Space},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {36},
number = {1},
pages = {1--18},
abstract = {<p style="text-align: justify;">In this paper, we study the long time well-posedness of 2-D MHD boundary layer equation. It was proved that if the initial data satisfies</p><p style="text-align: justify;">$$\|(u_0,h_0-1)\|_{H_{\mu}^{3,0}\cap H_{\mu}^{1,2}}\le \varepsilon,$$ then the life span of the solution is at least of order $\varepsilon^{2-\eta}$ for $\eta&gt;0$.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-0015},
url = {http://global-sci.org/intro/article_detail/ata/16910.html}
}