變分法及其在偏微分方程中的應用系列講座
主講人：丁中海教授
美國內華達大學拉斯維加斯分校數學科學系工作，教授, 博士生導師. 1990.8-1994.6，美國德州農機大學，數學系，博士，1994.7-1995.6，美國德州農機大學，航空系，博士後，丁中海教授的研究資助主要來自美國自然科學基金（DMS-9622910，DMS-1015671），內華達EPSCoR項目和內華達大學拉斯維加斯分校。
1、半線性橢圓的極小極大定理的數值逼近
8月5日（星期五）9：00-11：00，必一体育平台二樓會議室
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、板橋系統的非線性周期振動
8月8日（星期一）9：00-11：00，必一体育平台二樓會議室
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、板橋系統的行波解
8月10日（星期三）9：00-11：00，必一体育平台二樓會議室
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.
必一体育平台
2016年7月25日
