学术报告一(2020001)
报告题目:Stability of peakons of the shallow water modeling with cubic nonlinearity
报告人:刘跃(University of Texas、教授)
报告时间:2020年01月8日(周三)上午9:30-10:30
报告地点:理学实验楼312
报告摘要: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.
报告人简介: Yue Liu 教授在美国布朗大学应用数学系获得博士学位。他是目前国际上偏微分方程研究尤其是浅水波领域的一流专家,研究成果发表在 Comm. Pure Appl. Math., Adv. Math., Comm. Math. Phys., Arch.Ration. Mech. Anal., J. Funct. Anal., Trans. AMS 等国际著名刊物上。
学术报告二(2020002)
报告题目:Recent results on well-posedness of polymeric fluid models
报告人:殷朝阳(中山大学教授)
报告时间:2020年01月8日(周三)上午10:30-11:30
报告地点:理学实验楼312
报告摘要: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.
报告人简介:殷朝阳,中山大学数学学院教授、博士生导师,入选广东特支计划百千万人才工程领军人才,教育部新世纪优秀人才支持计划,和广东省“千百十工程”省级培养对象。曾荣获2014年汤森路透高被引科学家奖,德国洪堡学者称号,和广东省科学技术二等奖。曾访问美国纽约大学克朗数学研究所,德国莱布尼兹汉诺威大学应用数学研究所,和瑞典隆德大学数学系。现任2个国际刊物的编委,研究领域为非线性偏微分方程,出版学术专著1部,在国际数学核心刊物发表学术论文百余篇。