中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：张伟 博士后 （首都师范大学）
题 目：A Beale-Kato-Majda criterion for free boundary incompressible ideal MHD
时 间：2023. 06. 27（星期二) 9:00-10:00
地 点：数学院南楼N933
摘 要：In this talk, I will discuss a continuation criterion for the free boundary problem of three-dimensional incompressible ideal MHD equations in a bounded domain, which is analogous to the theorem given by Beale, Kato and Majda in 1984. We combine the energy estimates on incompressible ideal MHD given by Hao and Luo in 2014 and some analogous estimates by Ginsberg in 2021 to show that the solution can be continued as long as the curls of the magnetic field and velocity, the second fundamental form and injectivity radius of the free boundary and some norms of the pressure remain bounded, provided that the Taylor-type sign condition holds. This talk is based on the joint work with J. Fu, C. Hao and S. Yang.
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