报告题目: Forward self-similar solutions of the incompressible Navier-Stokes Equations
报告人：赖柏顺 教授(湖南师大)
时间：2021年11月26日 (周五), 9:40-10:40 (上午)
地点：425
邀请人：周建丰
报告摘要: In this talk, we first recall the research history on self-similar solutions of the incompressible Navier-Stokes Equations. Secondly, I will introduce our new result about this field. More precisely, by establishing the precisely regularity of solution for the corresponding elliptic system, we prove that the solution constructed by Korobkov-Tsai satisfies the decay estimate which implies this solution enjoys the same property with that solution was constructed by Jia and Sverak，which complete the construction of the self-similar solutions. On the other hand, via the special structure of Oseen tensor and the higher regularity of solutions, we obtain the optimal decay estimate of forward self-similar solutions. These are joint works with Miao Changxing and Zheng xiaoxing, and published in Adv. Math., Trans. Amer. Math. Soc.
报告人简介：赖柏顺，现为湖南师范大学数学与统计学院教授。
