报告人：李用声 教授（华南理工大学）

报告题目：Global well-posedness and inviscid limits of the generalized Oldroyd type models

报告摘要：We consider $n$-D Cauchy problem of the generalized Oldroyd-B model without damping on the stress tensor. We obtain the global small solutions and give positive answers partially to the question proposed by Elgindi and Liu (J Diff Eq 259:1958--1966, 2015). The proof relies heavily on the trick of transferring dissipation from $u$ to $\tau$, and a new commutator estimate which may be of interest for future works. Moreover, we prove a global result of inviscid limit of 2-D Oldroyd type models in the Sobolev spaces. The convergence rate is also obtained simultaneously.

报告人简介：李用声，华南理工大学数学学院，二级教授。主要从事非线性偏微分方程的研究工作。在国内外重要学术刊物上发表论文80 余篇，其中SCI收录60余篇。先后主持5项国家自然科学基金项目，1998年被评为湖北省跨世纪学术骨干，2012年获得全国优秀博士学位论文提名奖指导老师称号。

报告时间：2019年9月23日（星期一）下午14：00-16：30

报告地点：科技楼南楼702室