报告人：郭上江教授

报告题目：Wave trains in a 2D diatomic face-centered lattice

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.

报告时间：2022年2月28日8:30-10:30

报告地点：腾讯会议  会议号：138-650-751

报告人简介：郭上江，中国地质大学（武汉）教授、博士生导师，曾任湖南大学岳麓学者特聘教授和博士生导师，主要从事微分方程分岔理论及应用研究，和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JDE, JNS, M3AS和Nonlinearity等杂志上发表论文80多篇。2014-2019年连续入选“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年）湖南省科技进步一等奖（排名第二，2008年），入选教育部新世纪优秀人才支持计划（2007年）。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。