（会议时间：2019年5月24 日至5月25日）
（会议地点：维格堂319）
会议日程
2019年5月24日（周五） | ||
12:00-18:00 | 报到 | |
2019年5月25日（周六） | ||
9:00-9:30 | 签到、开幕 | |
报告时间 | 报告人 | 报告题目 |
9:30-10:20 | 冀书关（东北师范大学） | Breather solutions for the nonlinear wave equation in inhomogeneous media |
10:20-10:25 | 提问讨论 | |
10:25-10:45 | 茶歇 | |
10:45-11:35 | 王楷植（上海交通大学） | Weak KAM Theory and Its Applications |
11:35-11:40 | 提问讨论 | |
12:00 | 午餐 | |
14:00-14:50 | 魏元鸿（吉林大学） | Multiplicity of solutions for non-local elliptic problems |
14:50-14:55 | 提问讨论 | |
14:55-15:15 | 茶歇 | |
15:15-16:05 | 文晓（北京航空航天大学） | On the shadowing property of singular hyperbolic sets |
16:05-16:10 | 提问讨论 | |
16:10-17:00 | 动力系统最新进展交流讨论、咨询 | |
报告摘要
5月25日报告
1、报告题目：Breather solutions for the nonlinear wave equation in inhomogeneous media报告人：冀书关（东北师范大学）
摘要：Breather solutions are quite rare for the nonlinear wave equations. Up to rescaling, the only spatially homogeneous model known to admit such solutions is the sine-Gordon equation. In contrast, it is expected to be different for the nonlinear wave equation in inhomogeneous media modelling by $\rho(x)u_{tt}-(\mu(x)u_x)_x=f(x,u)$. With this spatially inhomogeneous model, for the first time we discover the existence of many breather solutions. This is a joint work with Professor C.E. Wayne.
2 报告题目：Weak KAM Theory and Its Applications
报告人：王楷植（上海交通大学）
摘要：The goal of this talk is to present an introduction to some of the main ideas involved in the weak KAM theory. Moreover, we will introduce some recent results on the weak KAM theory for contact Hamiltonian systems.
3 报告题目：Multiplicity of solutions for non-local elliptic problems
报告人：魏元鸿（吉林大学）
摘要：We will talk about some elliptic boundary problems driven by the non-local operator. The multiplicity of solution is established by using some variational methods. This is a joint work with Xifeng Su.
4、报告题目：On the shadowing property of singular hyperbolic sets
报告人：文晓（北京航空航天大学）
摘要：In this talk I will show that every singular hyperbolic transitive set with singularity does not admit shadowing property. This extends a result of Komuro that says geometric Lorenz attractor does not admit shadowing property.