学术报告
Pointwise structures of some PDEs-王海涛 台湾中央研究院
报告题目：Pointwise structures of some PDEs
报告人：王海涛
单位：台湾中央研究院
报告时间：4月6日 16:40-17:20 地点：新教524
摘要：In this talk, I will review some pointwise behavior results of PDEs that are related to fluid dynamics and kinetic theory. While well posedness is of the fundamental importance in PDE theory, the point wise structures of the solution give more quantitative understanding of the underlying physical phenomena.
This talk consists of three parts. In the first part, the wave structure of linearzied Landau equation and other generalizations will be presented. The results reveal that the large time behavior is dominated by Naiver Sotkes type diffusion wave. The regularization effect plays an important role in the estimates. In the second part, we will see how to obtain the pointwise structure for viscous scalar rarefaction wave through Green’s function approach. The result shows the Burgers type waves are universal. Finally, we will discuss the construction of Green’s function for initial-boundary value problem in half space and its applications.
