【廿周年院庆学术报告22】· 【和山数学论坛第326期】
一、报告题目:Recent progress on qualitative analysis of some nonlinear PDEs
二、报告人:李从明教授
三、时间:2022年10月12日(周三)下午 14:00-15:00
四、腾讯会议号:993 207 173
报告摘要:We present some recent progress on qualitative analysis of solutions to some interesting PDEs. Liouville type theorems, classification of solutions are very interesting topics in qualitative analysis of PDEs with many applications. These are also very closely related to a priori estimates. We give a brief introduction on the problems, the related methods, and some results with applications. We focus on the incompressible Navier-Stokes and Euler equations as examples to illustrate the ideas, methods and possible applications. We will also briefly discuss some work on problems related to fractional Laplacian. Most of the results presented here are the joint work with Chenkai Liu, Yingshu Lv, Chunjing Xie and Ran Zhuo
报告人简介:李从明,上海交通大学数学科学学院院长,国务院学位委员会第八届学科评议组成员、美国数学会会士、DCDS等3种杂志编委。在流体力学、几何分析、局部和非局部偏微分方程组等方面与合作者的成果发表于Ann. of Math、Invent. Math、CPAM、PNAS、JFM、ARMA、 JDG等重要学术杂志。共发表SCI论文80余篇,SCI引用4000多次。
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