报告题目:Existence and multiplicity of wave trains in lattices
报 告 人: 郭上江教授 (湖南大学)
报告时间: 2018年5月11日(周五)上午10:00-11:00
报告地点:磬苑校区数学科学学院H401
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科学技术处
2018年4月25日
报告摘要:We study the existence and branching patterns of wave trains in lattices with linear and nonlinear coupling between nearest particles and a nonlinear substrate potential. The wave train equation of the corresponding discrete nonlinear equation is formulated as an advanced-delay differential equation which is reduced by a Lyapunov-Schmidt reduction to a finite-dimensional bifurcation equation with certain symmetries and an inherited Hamiltonian structure. By means of invariant theory and singularity theory, we obtain the small amplitude solutions in the Hamiltonian system near equilibria in non-resonance and resonance, respectively.
专家简介:郭上江，湖南大学教授，博士生导师，主要从事分岔理论与应用研究。主持国家自然科学基金面上项目4项，在Springer出版社应用数学科学丛书出版了英文专著一部，在Journal of Differential Equations, Journal of Nonlinear Science, Mathematical Models & Methods in Applied Sciences, Discrete and Continuous Dynamical Systems, Zeitschrift Fur Angewandte Mathematik UndPhysik和Nonlinearity等国际高水平杂志上发表论文30多篇。2014-2017连续四年入选“中国高被引学者”榜单。获湖南省科技进步一等奖(2008年),入选教育部新世纪优秀人才支持计划(2007年)和湖南省首批121人才工程人选(2005年),湖南大学“岳麓学者”。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。