时   间：2018年3月17日9:00-10:30

地   点： 明理楼401

讲座题目：

Some new developments on the forward self-similar solutions of the incompressible Navier-Stokes Equations

主   讲：河南大学副教授 赖柏顺

参加人员：理学院教师与部分学生

主讲简介：

赖柏顺，1981年1月生，现为河南大学副教授，长期从事非线性偏微分方程的理论研究，其研究领域包括椭圆方程解的渐近性态、稳定性、解集的分支现象、正则性以及流体方程自相似解的存在性和弱解的正则性判别准则。在国际刊物上发表SCI论文30余篇，主持国家课题青年基金、天元基金各一项; 主持河南省教育厅基金一项、河南大学杰出青年基金一项。

内容简介：

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 [Anal. PDE 9 (2016), 1811-1827] satisfies the decay estimate which implies this solution enjoys the same property with that solution was constructed in [Jia and \v{S}ver\'{a}k, Invent. Math. 196 (2014), 233-265]. This is a joint work with Miao Changxing and Zheng xiaoxing.