报告题目：Regularity and decay large time behavior for the non-stationary Navier-Stokes flows in unbounded domains

报告人：韩丕功研究员

报告时间：11月11日15:00-16:00

报告地点：A10-314

报告人简介：韩丕功，中国科学院数学与系统科学研究院，博士生导师。2004年7月毕业于中国科学院数学与系统科学研究院，获理学博士学位。2006年荣获百篇全国优秀博士学位论文奖，2010年荣获中国科学院卢嘉锡青年人才奖。在Commun. Math. Phys., J. Funct. Anal., Manuscript. Math. J. Diff. Equat., Calc. Var.等国际学术刊物上发表论文近50余篇，主持6项国家自然科学基金项目，作为主要成员参与国家自然科学基金重点项目一项。

报告内容：In the first part, we give some new local and global regularity properties for weak solutions of non-stationary Navier-Stokes equations in a class of end-point function spaces, which are beyond the classical Serrin's condition. The second part focuses on asymptotic behavior for the non-stationary Navier-Stokes flows in the half space. Using the Stokes solution formula, we find a crucial and new estimate for the Stokes solution in L^1, from which, the time L^1 behavior for N-S flows, including the first and second spatial derivatives, are established. In addition, we also introduce some recent decay results of N-S flows in exterior domains

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科研处

理学院

水电学院

2014.11.07