应304am永利集团官网崔秀芳副教授和王跃循教授邀请，华东理工大学数学学院朱异副教授将于2023年12月6日下午举行线上学术报告。

报告题目: Global well-posedness of 2D incompressible MHD equations without magnetic diffusion

时 间：12月6日（星期三）14：00-15:00

腾讯会议ID：226-406-360

报告摘要：As we have known, the global existence of classical solutions to the Cauchy problem for 2D incompressible MHD equations without magnetic diffusion was proved previously, under the assumption that initial data is close to some equilibrium states. However, it is still unknown whether or not there exists a global classical solution to the above system with the assumption of initial data be small in non-negative Sobolev spaces. This talk gives a positive answer to this problem. In fact, we achieve our results in Sobolev space $H^2(\mathbb{R}^2)$. The key is using the structure of system to derive some equivalences for the wildest terms and improving the nonlinearity order, then we can transfer these wildest terms to some good terms successfully. This is a joint work with Prof. Ding Shijin and Prof. Ronghua Pan.

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报告人简介

朱异，华东理工大学数学学院副教授。2017年博士毕业于复旦大学，曾访问美国佐治亚理工学院。主要从事偏微分方程的适定性理论方面的研究，特别是流体力学方程组如磁流体力学方程组、粘弹性力学方程组等。入选上海市“启明星”计划、上海市青年英才“扬帆计划”。主持国家自然科学基金面上项目、青年项目等基金。研究成果发表在Adv. Math.、ARMA、JFA、SIAM J. Math. Anal.等国际期刊。

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2023年12月5日