变分法及其在偏微分方程中的应用系列讲座
主讲人：丁中海教授
美国内华达大学拉斯维加斯分校数学科学系工作，教授, 博士生导师. 1990.8-1994.6，美国德州农机大学，数学系，博士，1994.7-1995.6，美国德州农机大学，航空系，博士后，丁中海教授的研究资助主要来自美国自然科学基金（DMS-9622910，DMS-1015671），内华达EPSCoR项目和内华达大学拉斯维加斯分校。
1、半线性椭圆的极小极大定理的数值逼近
8月5日（星期五）9：00-11：00，理学院二楼会议室
摘要:Nonlinear elliptic equations arise naturally in physics, engineering, andmathematical biology. It is known that such equations may have multiplesolutions. In this talk, we first give a brief introduction of minimaxtheorems, and then present the numerical implementation of the Mountain PassTheorem and numerical implementation of the Linking Theorem. In the second halfof this talk, we will discuss the existence of sign-changing solutionsreflecting domain symmetries, and present the numerical algorithms forsolutions reflecting domain symmetries.
2、板桥系统的非线性周期振动
8月8日（星期一）9：00-11：00，理学院二楼会议室
摘要:Suspension bridges are a common type of civil engineering structures. In thistalk, we first discuss the mathematical modeling of suspension bridges, andthen discuss the existence of multiple nonlinear periodic oscillations byapplying the Mountain Pass Theorem and a variational reduction method.
3、板桥系统的行波解
8月10日（星期三）9：00-11：00，理学院二楼会议室
摘要:In this talk, we first give a brief introduction of topological degree theory,and then discuss the existence of multiple large amplitude periodic oscillationsand traveling waves in suspension bridge systems by applying the Mountain PassTheorem and the Leray-Schauder degree theory.
理学院
2016年7月25日