中国地质大学(武汉)郭上江教授学术报告
发布时间: 2022-10-07 浏览次数: 518

报告题目:

Wave trains in a 2D diatomic face-centered lattice

报 告 人:

郭上江 教授 (中国地质大学(武汉)

主 持 人:

王锦荣 教授

报告时间:

2022109日(星期日)上午 9:00-10:00

腾讯会议:

腾讯会议ID672-922-607

报告摘要In this talk, we investigate the existence and branching patterns of wave trains  in a 2D face-centered square  lattice consisting of alternating light and heavy atoms, with linear coupling between  nearest particles and a nonlinear  substrate potential. In contrast to monatomic chains, we consider two different periodic waveform functions corresponding to light  and heavy particles, respectively. As a result, we have to solve coupled advanced-delay differential equations, which are reduced to a finite-dimensional bifurcation equation with an inherited Hamiltonian structure by applying a Lyapunov-Schmidt reduction. Then we obtain the small-amplitude solutions in the Hamiltonian system near equilibria in non-resonance and p:q resonance, respectively. In particular, the results can be applied to some one-dimensional diatomic lattices. This is a joint work with Dr Ling Zhang at CUG.

个人简介:郭上江,中国地质大学(武汉)二级教授、博士生导师、数理学院院长,湖南大学岳麓学者特聘A岗教授、博士生导师。主要从事微分方程分岔理论及应用研究,随机动力系统理论及应用研究。主持国家自然科学基金项目6项,在Springer出版社应用数学科学丛书出版了英文专著一部,在JDEJNLSM3ASDCDSNonlinearity等杂志上发表论文80多篇。2014-20192021年入选“中国高被引学者”榜单。获湖南省自然科学奖一等奖(排名第一,2018)、湖南省科技进步一等奖(排名第二,2008)。担任包含国际SCI刊物《Bulletin of the Malaysian Mathematical Sciences Society》在内的4个学术刊物的编委。



 
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