报告题目：The existence of solitary wave solutions of perturbed Camassa-Holm equations
报告时间：2019年9月6日下午15:30——16:30
报告地点：气象楼713室
报告人：杜增吉教授
主持人：鲁世平教授
摘要：In this talk, we discuss a perturbed Camassa-Holm equation, which is a model for shallow water waves. We first establish the existence of solitary wave solutions for the equation without delay. And then we prove the existence of solitary wave solutions for the equation with special local and nonlocal delay convolution kernels by using the method of dynamical system, especially the geometric singular perturbation theory and invariant manifold theory. According to the relationship between solitary wave and homoclinic orbit, the Camassa-Holm equation is transformed into the ordinary differential equations with fast variables by using the variable substitution. It is proved that the equation with disturbance also possesses homoclinic orbit, and there exists solitary wave solution of the delayed Camassa-Holm equation！
专家简介
杜增吉，江苏师范大学教授、博士生导师、副校长，中国数学会奇异摄动专业委员会副理事长，江苏省优秀教育工作者，江苏省“333高层次人才”中青年科学技术带头人，江苏省“青蓝工程”中青年学术带头人。研究方向为微分方程与动力系统、奇异摄动理论及其应用等。在J. Funct. Anal.，J. Differential Equations, Commun. Contemp. Math., J. Math. Biol. 等数学杂志上发表SCI论文60多篇，在科学出版社出版专著1部，主持国家自然科学基金和省部级项目10余项。
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数学与统计学院
2019年9月6日