Invited talk, 中山大学2018全国偏微分方程会议, Nov. 30-Dec. 2, 2018.
Abstract: In this talk, we show the ill-posedness of the free boundary problem of the incompressible ideal magnetohydrodynamics (MHD) equations in two spatial dimensions with suitable large vacuum permeability $\mu_0$, in Sobolev spaces. The analysis is uniform for large $\mu_0$. This talk is based on the joint work with Prof. T. Luo.