Eulerian dynamics in multi-dimensions with radial symmetry
报告题目(Title)：Eulerian dynamics in multi-dimensions with radial symmetry
报告人(Speaker)：Changhui Tan (University of South Carolina, USA)
地点(Place)：后主楼1223
时间(Time)：2019年12月26日下午4:00-5:00
邀请人(Inviter)：薛留堂
报告摘要
The Eulerian dynamics describes many interesting phenomena in fluid mechanics. In this talk, I will discuss several equations that lie in this category, including the damped Burgers equation, the Euler-Poisson equation and the Euler alignment equation. Though a lot of work has been done for the problems in one-dimension, much less is known in multi-dimensions, due to the effect of the "spectral gap". I will explain the main difficulty of controlling the spectral gap, and introduce a new way to handle the term in the case when the solution is radially symmetric.
