浙江大学数学科学学院高等数学所系列学术报告 （201704）

题目: 

On the current-vortex sheets problem for ideal incompressible MHD equations

报告人：王  伟 教授

报告时间地点：2017年04月21日上午10:45  欧阳楼三楼教室

摘要：It is well-known that vortex sheets for incompressible Euler equations are not stable (called Kelvin-Helmholtz instability). However, in 1953, Syrovatskij derived a stability condition which indicates that when the magnetic field is sufficiently strong, current-vortex sheets for MHD equations could be probably weakly stable. In this talk, we will talk about the existence for the incompressible current-vortex sheets in Sobolev spaces, which gives a rigorously confirmation on that incompressible current-vortex sheets are non-linearly stable under Syrovatskij's stability condition.

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