Some recent work on incompressible fluids


主讲人:李从明 上海交通大学教授


地点:Tencent会议 743 3038 2306


主讲人先容:李从明教授,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编辑的成果发表于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。

内容先容:Qualitative analysis of solutions to various PDEs are central problems in mathematics. Maximum principles, Liouville type theorems, classification of solutions are very interesting topics in qualitative analysis of PDEs with many applications. They 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 equations as examples to illustrate the ideas, methods and possible applications. Most of the results presented here are the joint work with Chenkai Liu, Yingshu Lv, Chunjing Xie and Ran Zhuo.

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