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

发布时间：2018-06-27 作者：77779193永利官网浏览次数：

Speaker:	赖柏顺	DateTime:	2018年7月1日（周日）上午10:00-10:50
Brief Introduction to Speaker: 赖柏顺，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20余篇，主持国家课题2项。其主要研究成果发表在Siam J. Math. Anal、Calc. Var. Partial Differential Equations、Ann. Henri Poincare、Proc. Roy. Soc. Edinburgh Sect. A、Proc. Edinb. Math. Soc.、Proc. Amer. Math. Soc.、Discrete Contin. Dyn. Syst.等重要的国际数学期刊上.		Place:	六号楼二楼报告厅
Abstract: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.