主讲人：郝成春 副研究员（中国科学院数学与系统科学研究院）

时  间：5月20日（周一）10：30-11：10

地  点：威尼斯欢乐娱人城1099北二区教学楼 132 教室

备  注：Abstract: In this talk, I will show the a priori estimates of Sobolev norms for a free boundary problem of the incompressible inviscid MHD equations in all physical spatial dimensions $n=2$ and $3$ by adopting a geometrical point of view used in Christodoulou & Lindblad CPAM 2000, and estimating quantities such as the second fundamental form and the velocity of the free surface. We identify the well-posedness condition that the outer normal derivative of the total pressure including the fluid and magnetic pressures is negative on the free boundary, which is similar to the physical condition (Taylor sign condition) for the incompressible Euler equations of fluids. This is based on a joint work with Professor T.Luo.