@article{Dong2026, 
author = {Xiaolei Dong},
title = {Well-posedness of the 3D MHD boundary layer equations in an analytic space},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {3},
pages = {1506-1523},
keywords = {MHD boundary layer equations, local well-posedness, analytic space},
url = {https://www.sciopen.com/article/10.3934/era.2026068},
doi = {10.3934/era.2026068},
abstract = {The objective of this paper is to investigate the local well-posedness of analytic solutions to the three-dimensional (3D) magnetohydrodynamic (MHD) boundary layer equations without structural assumptions. Specifically, the general initial data are required to be real-analytic in the tangential variables    (  x  ,  y  ) and satisfy Sobolev regularity in the normal variable    z. We first adopt a variable transformation involving    ϕ  (  z  ) to homogenize the boundary conditions and eliminate resulting high-order terms. Additionally, we employ delicate energy estimates combined with Gauss weight functions to control linearly growth terms.}
}