主講人：李從明 上海交通大學(xué)教授

時(shí)間：2022年9月20日16：00

地點(diǎn)：騰訊會(huì)議 743 3038 2306

舉辦單位：數(shù)理學(xué)院

主講人介紹：李從明教授，上海交通大學(xué)數(shù)學(xué)科學(xué)學(xué)院院長(zhǎng)、國(guó)務(wù)院學(xué)位委員會(huì)第八屆學(xué)科評(píng)議組成員、美國(guó)數(shù)學(xué)會(huì)會(huì)士、DCDS等3種雜志編委。在流體力學(xué)、幾何分析、局部和非局部偏微分方程組等方面與合作者的成果發(fā)表于A(yíng)nn. of Math、Invent. Math、CPAM、PNAS、JFM、ARMA、JDG等重要學(xué)術(shù)雜志。共發(fā)表SCI論文80余篇，SCI引用4000多次。

內(nèi)容介紹：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.