On the free boundary of the incompressible ideal MHD

主讲人:Chengchun HAO
时间: 周二10:15-11:00,2019-4-23
地点:清华大学静斋105

摘要

We raised a Taylor-sign type condition for the free boundary of the incompressible ideal MHD flows with initial bounded smooth domain, and proved the a priori estimates of the solutions to nonlinear system. We also showed the ill-posedness of the solutions in Sobolev spaces when the Taylor-sign type condition is violated. This indicated that the Taylor-sign type condition is much necessary for the well-posedness of the solution in Sobolev spaces to this MHD free boundary problem in bounded smooth domain. This talk is based on the joint works with Tao Luo.

报告人简介

Title: On the free boundary of the incompressible ideal MHD

Speaker: Chengchun HAO (Chinese Academy of Sciences)

10:15-11:00, April 23, 2019 (Jing Zhai 105)

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