应pc加拿大预测准确率赵敦教授邀请，天津大学博士生导师吴奕飞教授将于2018 年6月4日至6月6日访问我校并作学术报告。
报告题目：Instability of the solitary wave solutions for some dispersive equations
时 间：6月5日（星期二）下午3:30
地 点：齐云楼911报告厅
摘 要：We discuss the instability of the solitary wave solutions for some dispersive equations. Firstly, we consider the standing wave solutions of the nonlinear Klein-Gordon equation in the L^2-subcritical case. It was proved by Shatah (1983), Shatah, Strauss (1985), and Ohta, Todorova (2007) that the orbit stablity is determined by a critical frequency. The one dimension problem was left after then. In this talk, we give the proof of this remained problem. Secondly, we discuss the extension of the argument to the general dispersive equations. In particular, we study the instability of the solitary wave solutions for a class of the dispersive equations in the degenerate case, without any restriction on the regularity of the nonlinearity. This is a jointed work with Zihua Guo, and Cui Ning.
吴奕飞教授简介
曾获得广东省优秀博士论文，全国百篇优秀博士论文提名。研究方向是偏微分方程和调和分析。三个工作分别改进了菲尔兹奖获得者Bourgain和Tao等人的工作，并解决了Tao及其合作者遗留了十余年的问题。近些年，科研工作在遗留了20年的问题上跨出了重要的一步，被审稿人称为“原创性”工作，研究方法被加拿大皇家学会会士Sulem、爱丁堡大学教授Oh等称为“Wu's argument”、“Du-Wu-Zhang's method”；解决了Brown大学教授遗留了16年的问题。在国际一流期刊J. European Mathematical Society, International Mathematics Research Notices, Advances in Mathematics, Analysis and PDE, SIAM J. Mathematical Analysis, J. Differential Equation等发表20多篇论文. 多次受邀到法国,韩国,澳大利亚访问或做学术报告。
欢迎各位老师同学参加！
应用数学与复杂系统省级重点实验室
pc加拿大预测准确率
兰州大学萃英学院
2018年6月1日
