学术讲述一（2020001）

讲述问题：Stability of peakons of the shallow water modeling with cubic nonlinearity

讲述人：刘跃（University of Texas、传授）

讲述工夫：2020年01月8日（周三）上午9:30-10:30

讲述地址：理学实行楼312

讲述择要：In this talk, I will start by demonstrating the underlying complexity of the physical system,  and then I will discuss  possible simplifications in the "shallow water" regime along with the relevant physical phenomena. In particular, I will derive some simplified nonlocal shallow-water models with cubic nonlinearity, such as integrable Novikov and Modified Camassa-Holm-type equations. It is shown these approximating model equations possess a single peaked soliton and multi-peakon solutions. Finally I will prove the single peaked soliton is orbitally stable in the energy space.

讲述人简介： Yue Liu 传授在美国布朗大学使用数学系取得博士学位。他是现在国际上偏微分方程研讨尤其是浅水波范畴的一流专家，研讨功效揭晓在 Comm. Pure Appl. Math., Adv. Math., Comm. Math. Phys., Arch.Ration. Mech. Anal., J. Funct. Anal., Trans. AMS 等国际闻名刊物上。

学术讲述二（2020002）

讲述问题：Recent results on well-posedness of polymeric fluid models

讲述人：殷向阳（中山大学传授）

讲述工夫：2020年01月8日（周三）上午10:30-11:30

讲述地址：理学实行楼312

讲述择要：In this talk, I will talk about our recent results on well-posedness of the FENE dumbbell model and the Doi-Edwards polymer model and further problems. This is based on several joint works with Wei Luo.

讲述人简介：殷向阳，中山大学数学学院传授、博士生导师，当选广东特支设计百万万人才工程领武士才，教诲部新世纪优异人才支持设计，和广东省“千百十工程”省级培育工具。曾荣获2014年汤森路透高被引迷信家奖,德国洪堡学者称呼，和广东省迷信手艺二等奖。曾接见美国纽约大学克朗数学研讨所，德国莱布尼兹汉诺威大学使用数学研讨所，和瑞典隆德大学数学系。现任2个国际刊物的编委，研讨范畴为非线性偏微分方程，出书学术专著1部，在国际数学焦点刊物揭晓学术论文百余篇。